Graph the exponential function.
y = 3x
(1 point)
Responses
Graph AThe x-axis goes from negative 6 to 6 and the y-axis goes from negative 6 to 18. For values of x less than negative 2, the function is approximately horizontal with y-values close to negative 4. For values of x greater than negative 2, the function curves steeply upward and towards the right. The graph passes through the point left-parenthesis 2 comma 4 right-parenthesis.
Image with alt text: Graph A The x-axis goes from negative 6 to 6 and the y-axis goes from negative 6 to 18. For values of x less than negative 2, the function is approximately horizontal with y-values close to negative 4. For values of x greater than negative 2, the function curves steeply upward and towards the right. The graph passes through the point left-parenthesis 2 comma 4 right-parenthesis.
Graph BThe x-axis goes from negative 6 to 6 and the y-axis goes from negative 6 to 18. For values of x less than 1, the function is approximately horizontal with y-values close to 3. For values of x greater than 1, the function curves steeply upward and towards the right. The graph appears to pass through a point close to the point left-parenthesis 5 comma 13 right-parenthesis.
Image with alt text: Graph B The x-axis goes from negative 6 to 6 and the y-axis goes from negative 6 to 18. For values of x less than 1, the function is approximately horizontal with y-values close to 3. For values of x greater than 1, the function curves steeply upward and towards the right. The graph appears to pass through a point close to the point left-parenthesis 5 comma 13 right-parenthesis.
Graph CThe x-axis goes from negative 6 to 6 and the y-axis goes from negative 4 to 20. For values of x less than negative 3, the function is approximately horizontal with y-values close to 0. For values of x greater than negative 3, the function curves steeply upward and towards the right. The graph passes through the point left-parenthesis 2 comma 10 right-parenthesis.
Image with alt text: Graph C The x-axis goes from negative 6 to 6 and the y-axis goes from negative 4 to 20. For values of x less than negative 3, the function is approximately horizontal with y-values close to 0. For values of x greater than negative 3, the function curves steeply upward and towards the right. The graph passes through the point left-parenthesis 2 comma 10 right-parenthesis.
Graph D
The x-axis goes from negative 6 to 6 and the y-axis goes from negative 6 to 18. The graph starts at the point (0, 0) and steadily increases as x increases. The graph appears to pass through the point (1, 3), (2, 9), (3, 27), and so on. The function appears to curve upward and to the right.
say abc or d
Graph the exponential function.
y = 3x
(1 point)
Responses
Graph AThe x-axis goes from negative 6 to 6 and the y-axis goes from negative 6 to 18. For values of x less than negative 2, the function is approximately horizontal with y-values close to negative 4. For values of x greater than negative 2, the function curves steeply upward and towards the right. The graph passes through the point left-parenthesis 2 comma 4 right-parenthesis.
Image with alt text: Graph A The x-axis goes from negative 6 to 6 and the y-axis goes from negative 6 to 18. For values of x less than negative 2, the function is approximately horizontal with y-values close to negative 4. For values of x greater than negative 2, the function curves steeply upward and towards the right. The graph passes through the point left-parenthesis 2 comma 4 right-parenthesis.
Graph BThe x-axis goes from negative 6 to 6 and the y-axis goes from negative 6 to 18. For values of x less than 1, the function is approximately horizontal with y-values close to 3. For values of x greater than 1, the function curves steeply upward and towards the right. The graph appears to pass through a point close to the point left-parenthesis 5 comma 13 right-parenthesis.
Image with alt text: Graph B The x-axis goes from negative 6 to 6 and the y-axis goes from negative 6 to 18. For values of x less than 1, the function is approximately horizontal with y-values close to 3. For values of x greater than 1, the function curves steeply upward and towards the right. The graph appears to pass through a point close to the point left-parenthesis 5 comma 13 right-parenthesis.
Graph CThe x-axis goes from negative 6 to 6 and the y-axis goes from negative 4 to 20. For values of x less than negative 3, the function is approximately horizontal with y-values close to 0. For values of x greater than negative 3, the function curves steeply upward and towards the right. The graph passes through the point left-parenthesis 2 comma 10 right-parenthesis.
Image with alt text: Graph C The x-axis goes from negative 6 to 6 and the y-axis goes from negative 4 to 20. For values of x less than negative 3, the function is approximately horizontal with y-values close to 0. For values of x greater than negative 3, the function curves steeply upward and towards the right. The graph passes through the point left-parenthesis 2 comma 10 right-parenthesis.
Graph D
The graph of the exponential function y = 3x would be Graph D.
Graph the exponential function.
y = 2(4.5)x
(1 point)
Responses
Graph AThe x-axis goes from negative 6 to 6 and the y-axis goes from negative 4 to 20. For values of x less than negative 2, the function is approximately horizontal with y-values close to 0. For values of x greater than negative 2, the function curves steeply upward and towards the right. The graph passes through the point left-parenthesis 1 comma 10 right-parenthesis.
Image with alt text: Graph A The x-axis goes from negative 6 to 6 and the y-axis goes from negative 4 to 20. For values of x less than negative 2, the function is approximately horizontal with y-values close to 0. For values of x greater than negative 2, the function curves steeply upward and towards the right. The graph passes through the point left-parenthesis 1 comma 10 right-parenthesis.
Graph BThe x-axis goes from negative 6 to 6 and the y-axis goes from negative 20 to 4. For values of x less than negative 2, the function is approximately horizontal with y-values close to 0. For values of x greater than negative 2, the function curves steeply downward and towards the right. The graph passes through the point left-parenthesis 1 comma negative 10 right-parenthesis.
Image with alt text: Graph B The x-axis goes from negative 6 to 6 and the y-axis goes from negative 20 to 4. For values of x less than negative 2, the function is approximately horizontal with y-values close to 0. For values of x greater than negative 2, the function curves steeply downward and towards the right. The graph passes through the point left-parenthesis 1 comma negative 10 right-parenthesis.
Graph CThe x-axis goes from negative 6 to 6 and the y-axis goes from negative 4 to 20. For values of x less than negative 2, the function is approximately horizontal with y-values close to 1. For values of x greater than negative 2, the function curves steeply upward and towards the right. The graph passes through the point left-parenthesis 1 comma 6 right-parenthesis.
Image with alt text: Graph C The x-axis goes from negative 6 to 6 and the y-axis goes from negative 4 to 20. For values of x less than negative 2, the function is approximately horizontal with y-values close to 1. For values of x greater than negative 2, the function curves steeply upward and towards the right. The graph passes through the point left-parenthesis 1 comma 6 right-parenthesis.
Graph DThe x-axis goes from negative 6 to 6 and the y-axis goes from negative 4 to 20. For values of x greater than 2, the function is approximately horizontal with y-values close to 0. For values of x less than 2, the function curves steeply upward and towards the left. The graph passes through the point left-parenthesis 0 comma 2 right-parenthesis.
Image with alt text: Graph D The x-axis goes from negative 6 to 6 and the y-axis goes from negative 4 to 20. For values of x greater than 2, the function is approximately horizontal with y-values close to 0. For values of x less than 2, the function curves steeply upward and towards the left. The graph passes through the point left-parenthesis 0 comma 2 right-parenthesis.
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The graph of the exponential function y = 2(4.5)x would be Graph A.
Question
Graph the function.
y = 4one-fifth to the x power
(1 point)
Responses
Graph AThe x-axis goes from negative 6 to 6 and the y-axis goes from negative 6 to 6. For values of x less than negative 3, the function is approximately horizontal with y-values close to 0. For values of x greater than negative 3, the function curves steeply upward and towards the right. The graph passes through the point left-parenthesis 0 comma 4 right-parenthesis.
Image with alt text: Graph A The x-axis goes from negative 6 to 6 and the y-axis goes from negative 6 to 6. For values of x less than negative 3, the function is approximately horizontal with y-values close to 0. For values of x greater than negative 3, the function curves steeply upward and towards the right. The graph passes through the point left-parenthesis 0 comma 4 right-parenthesis.
Graph BThe x-axis goes from negative 6 to 6 and the y-axis goes from negative 6 to 6. For values of x less than negative 3, the function is approximately horizontal with y-values close to 0. For values of x greater than negative 3, the function curves steeply downward and towards the right. The graph passes through the point left-parenthesis 0 comma negative 4 right-parenthesis.
Image with alt text: Graph B The x-axis goes from negative 6 to 6 and the y-axis goes from negative 6 to 6. For values of x less than negative 3, the function is approximately horizontal with y-values close to 0. For values of x greater than negative 3, the function curves steeply downward and towards the right. The graph passes through the point left-parenthesis 0 comma negative 4 right-parenthesis.
Graph CThe x-axis goes from negative 6 to 6 and the y-axis goes from negative 6 to 6. For values of x greater than 3, the function is approximately horizontal with y-values close to 0. For values of x less than 3, the function curves steeply downward and towards the left. The graph passes through the point left-parenthesis 0 comma negative 4 right-parenthesis.
Image with alt text: Graph C The x-axis goes from negative 6 to 6 and the y-axis goes from negative 6 to 6. For values of x greater than 3, the function is approximately horizontal with y-values close to 0. For values of x less than 3, the function curves steeply downward and towards the left. The graph passes through the point left-parenthesis 0 comma negative 4 right-parenthesis.
Graph DThe x-axis goes from negative 6 to 6 and the y-axis goes from negative 6 to 6. For values of x greater than 3, the function is approximately horizontal with y-values close to 0. For values of x less than 3, the function curves steeply upward and towards the left. The graph passes through the point left-parenthesis 0 comma 4 right-parenthesis.
Image with alt text: Graph D The x-axis goes from negative 6 to 6 and the y-axis goes from negative 6 to 6. For values of x greater than 3, the function is approximately horizontal with y-values close to 0. For values of x less than 3, the function curves steeply upward and towards the left. The graph passes through the point left-parenthesis 0 comma 4 right-parenthesis.
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The graph of the function y = 4(1/5)x would be Graph B.
Question
Graph the function.
y = 3(2)x + 1 – 4
(1 point)
Responses
Graph AThe x-axis goes from negative 12 to 12 and the y-axis goes from negative 12 to 12. For values of x greater than 4, the function is approximately horizontal with y-values close to negative 4. For values of x less than 4, the function curves steeply upward and towards the left. The graph passes through the point left-parenthesis negative 2 comma 2 right-parenthesis.
Image with alt text: Graph A The x-axis goes from negative 12 to 12 and the y-axis goes from negative 12 to 12. For values of x greater than 4, the function is approximately horizontal with y-values close to negative 4. For values of x less than 4, the function curves steeply upward and towards the left. The graph passes through the point left-parenthesis negative 2 comma 2 right-parenthesis.
Graph BThe x-axis goes from negative 12 to 12 and the y-axis goes from negative 12 to 12. For values of x less than negative 6, the function is approximately horizontal with y-values close to negative 4. For values of x greater than negative 6, the function curves steeply upward and towards the right The graph passes through the point left-parenthesis 0 comma 2 right-parenthesis.
Image with alt text: Graph B The x-axis goes from negative 12 to 12 and the y-axis goes from negative 12 to 12. For values of x less than negative 6, the function is approximately horizontal with y-values close to negative 4. For values of x greater than negative 6, the function curves steeply upward and towards the right The graph passes through the point left-parenthesis 0 comma 2 right-parenthesis.
Graph CThe x-axis goes from negative 12 to 12 and the y-axis goes from negative 12 to 12. For values of x less than negative 6, the function is approximately horizontal with y-values close to 4. For values of x greater than negative 6, the function curves steeply upward and towards the right The graph passes through the point left-parenthesis 0 comma 10 right-parenthesis.
Image with alt text: Graph C The x-axis goes from negative 12 to 12 and the y-axis goes from negative 12 to 12. For values of x less than negative 6, the function is approximately horizontal with y-values close to 4. For values of x greater than negative 6, the function curves steeply upward and towards the right The graph passes through the point left-parenthesis 0 comma 10 right-parenthesis.
Graph DThe x-axis goes from negative 12 to 12 and the y-axis goes from negative 12 to 12. For values of x greater than 4, the function is approximately horizontal with y-values close to 4. For values of x less than 4, the function curves steeply downward and towards the left. The graph passes through the point left-parenthesis negative 2 comma negative 2 right-parenthesis.
Image with alt text: Graph D The x-axis goes from negative 12 to 12 and the y-axis goes from negative 12 to 12. For values of x greater than 4, the function is approximately horizontal with y-values close to 4. For values of x less than 4, the function curves steeply downward and towards the left. The graph passes through the point left-parenthesis negative 2 comma negative 2 right-parenthesis.
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The graph of the function y = 3(2)x + 1 – 4 would be Graph D.
Question
The half-life of a certain radioactive material is 78 hours. An initial amount of the material has a mass of 790 kg. Write an exponential function that models the decay of this material. Find how much radioactive material remains after 18 hours. Round your answer to the nearest thousandth.
(1 point)
Responses
y = 1/2(1/790)^1/78x; 0.107kg
Image with alt text: y = 1/2(1/790)^1/78x ; 0.107kg
y = 790one half to 78x; 0 kg
y = 790 Image with alt text: one half to 78x ; 0 kg
y = 21 over 790 to the 1 over 78x; 0.429 kg
y = 2 Image with alt text: 1 over 790 to the 1 over 78x ; 0.429 kg
y = 790one half to the 1 over 78x; 673.233 kg
y = 790 Image with alt text: one half to the 1 over 78x ; 673.233 kg
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