1. What is the smallest positive integer value of x where y=3x exceeds y=3x+3? What is the corresponding value for y?
A. x=2, y=9
B. x=1, y=3
C. x=3, y=27
D. x=4, y=81
2. The graph of an exponential function is given below. What is the smallest positive integer value of x where the exponential functions value exceeds the value of the linear function y=1/6x+1 ? What is the corresponding y-value for the exponential function.
A. x=4, y=4
B. x=2, y=1
C. x=5, y=8
D. x=3, y=2
3. The graph shows two functions labeled A and B. Identify which function is linear and which is exponential. Explain.
A. The graph shows two functions labeled A and B. Identify which function is linear and which is exponential. Explain.
B. Function A has a constant increase over equal intervals, so A must be exponential and B must be linear.
C. Function A is larger than function B, so A must be exponential and B must be linear.
D. Function A has a constant increase over equal intervals, so A must be linear and B must be exponential.
4. The graph shows two function, A and B, where one is linear and one is exponential. Between x=1 and x=2 , function A goes from being less than function B to greater than function B. What will happen as the functions continue for x greater than 5? Explain.
A. Since A is a line, it must be the linear function. Therefore, B must be the exponential function and will eventually exceed A at some point beyond x=5 .
B. Graph A is larger than graph B, so A must be exponential, and B must be linear. The linear and exponential function will cross at multiple values for x greater than 5.
C. Since A becomes greater than B, it must be the exponential function. Therefore, A will be above B for all x greater than 5.
D. The behavior cannot be determined without having more information about the functions.
5. What is the smallest integer value of a where f(x)=2^x is always greater than g(x)=x^2 for all x>a ?(1 point)
A. a=4
B. a=3
C. a=1
D. a=2
1. B. x=1, y=3
2. D. x=3, y=2
3. D. Function A has a constant increase over equal intervals, so A must be linear and B must be exponential.
4. D. The behavior cannot be determined without having more information about the functions.
5. B. a=3