Sketch a graph of a single function that has these properties.
-f(x) = 4x + 8
A) y intercept: 8; x intercept: -2
B) y intercept: -2; x intercept: 8
C) y intercept: 8; x intercept: -2
D) y intercept: 8; x intercept: 2

Question

Sketch a graph of a single function that has these properties.
-f(x) = 4x + 8
A) y intercept: 8; x intercept: -2 
B) y intercept: -2; x intercept: 8 
C) y intercept: 8; x intercept: -2 
D) y intercept: 8; x intercept: 2

Quizplus · Accepted Answer

Using the equation f(x) = 4x + 8, we can easily find the y-intercept by setting x to 0: f(0) = 4(0) + 8 = 8. This matches with Option A and Option C.

To find the x-intercept, we set f(x) equal to 0 and solve for x:
0 = 4x + 8
-8 = 4x
-2 = x

This matches with Option C. Therefore, the best choice is C. We know that the y-intercept is 8, so the graph must cross the y-axis at the point (0, 8). We also know that the x-intercept is -2, so the graph must cross the x-axis at the point (-2, 0). 
From these two points, we can draw a straight line that passes through them. This line represents the graph of the function f(x) = 4x + 8.

A, B, and D cannot be correct because they do not satisfy both the specified x and y intercepts.

Sketch a Graph of a Single Function That Has These