Create a table of values for the function f(x)=4x−3 , and graph the function. What is the y -intercept?(1 point)

Question

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Answer 1

To create a table of values for the function f(x) = 4x - 3, we can choose a few values of x and find the corresponding y values.

Let's choose x values of -2, -1, 0, 1, and 2:

When x = -2: f(-2) = 4(-2) - 3 = -11
When x = -1: f(-1) = 4(-1) - 3 = -7
When x = 0: f(0) = 4(0) - 3 = -3
When x = 1: f(1) = 4(1) - 3 = 1
When x = 2: f(2) = 4(2) - 3 = 5

Now, let's graph the function using these points:

x | y
-2 | -11
-1 | -7
0 | -3
1 | 1
2 | 5

The y-intercept of the function f(x) = 4x - 3 is the point where the graph intersects the y-axis.
To find the y-intercept, we set x = 0 in the function:

f(0) = 4(0) - 3 = -3

Therefore, the y-intercept is at the point (0, -3) on the graph.