Question

2. Consider the function f(x) = 5x−6
(1 point)
Part A: Graph the function using Desmos. (Link to Desmos).

Part B: Find f(7)

f(7) =

Part C: Solve −1 = 5x−6
.

x=


Part D: Use the original function and find the x-value for whichf(x)=−1

x=


Part E: Use the original function and find f(0)
.

f(0) =

Part F: What is the key feature shown by f(0)
? (Write slope, x-intercept, y-intercept, vertex, axis of symmetry, minimum, maximum)

f(0)
is the

Answer 1

Let's go through each part step by step.

### Part A:
- For graphing the function \( f(x) = 5x - 6 \), you would graph it on Desmos using the provided link. This line has a slope of 5 and a y-intercept of -6.

### Part B:
To find \( f(7) \):
\[
f(7) = 5(7) - 6
\]
\[
f(7) = 35 - 6 = 29
\]
So,
\[
f(7) = 29
\]

### Part C:
To solve \( -1 = 5x - 6 \):
\[
-1 + 6 = 5x
\]
\[
5 = 5x
\]
\[
x = 1
\]

### Part D:
To find the x-value for which \( f(x) = -1 \):
\[
5x - 6 = -1
\]
Adding 6 to both sides:
\[
5x = 5
\]
Dividing both sides by 5:
\[
x = 1
\]

### Part E:
To find \( f(0) \):
\[
f(0) = 5(0) - 6
\]
\[
f(0) = -6
\]
So,
\[
f(0) = -6
\]

### Part F:
The key feature shown by \( f(0) \) is the **y-intercept** because it represents the value of the function when \( x = 0 \). Hence, you can say:

\( f(0) \) is the **y-intercept** (specifically, \( -6 \)).

If you need any further assistance with this function or related concepts, feel free to ask!