Question

1-38. Given f(x)=2x-7, complete parts (a) through (C). HomeworkHelpa. Compute f(0).b. Solve f(x)=0.c. What do the answers to parts (a) and (b) tell you about the graph of y=f(x)?

Answer 1

the Part a. Compute f(0). We have to evaluate the function for x = 0.

`f(0)\text{ = 2(0) - 7 = 0 - 7 = -7}`

Therefore, f(0) = -7.

Part b. Solve f(x) = 0.

`f(x)=\text{ 2x - 7 }=\text{ 0}`

To solve the equation 2x - 7 = 0, we have to add 7 to both sides of the equation, and then dividing the equation by 2:

`2x\text{ - 7 + 7 = 7 }`
`2x\text{ = 7 }\Rightarrow x\text{ = }(7)/(2)`

So, x = 7/2.

Part c.

Part a tells us that the graph of the function is evaluated in zero, the value for the function is -7. When x = 0, the value for y = -7. This is the intercept of the linear function.

Part b tells us that when y = 0, the value for x = 7/2.

The line passes through points (0, -7) and (7/2, 0). These are the points on y-axis and x-axis, respectively.