Given: f(x) = 8-4x
A. Find f(-2)
f(2) = 8-4(-2)
B. Find x, when f(x) = 8
8-4x = 8
C. Graph the function.
( a graph that has 20X and 20Y as the max numbers)
D. State the domain and range of the function.
(confused on what to do here)
E. Use the graph to find x, when . Show details on the graph.
F. Use the graph to find when x = 3. Show details on the graph.
Given: f(x) = 8-4x
A. Find f(-2)
f(-2) = 8-4(-2) = 8+8 = 16
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B. Find x, when f(x) = 8
8-4x = 8
so
-4x = 0
x = 0/-4
x = 0
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I can not very well graph for you. It is a straight line
y = -4 x + 8
when x = 0, y = 8
when y = 0 x = 2
your line goes through those two points
D. To determine the domain and range of the function, observe that the function is a linear equation. In general, the domain of a linear function is all real numbers, as there are no restrictions on the possible values of x. Similarly, the range of a linear function is also all real numbers, as the function can output any value on the number line. Therefore, the domain and range of the function f(x) = 8 - 4x are both (-∞, ∞) or all real numbers.
E. To find x when f(x) = 6 using the graph, locate the point on the graph where the function intersects the y-value of 6. Follow the vertical line originating from that point down to the x-axis. The x-coordinate where the line intersects the x-axis is the desired value of x.
F. To find f(3) using the graph, locate the point on the graph where x = 3. Follow the horizontal line originating from that point until it intersects the y-axis. The y-coordinate where the line intersects the y-axis is the value of f(3).