Question

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 C: Find the x-value for whichf(x)=−1

x=


Part D: Find f(0)
.

f(0) =

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

f(0)
is the

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Answer 1

Let's go through each part of the problem step by step:

### Part A: Graph the function
You can graph the function \( f(x) = 5x - 6 \) using Desmos by entering the equation directly into the graphing tool.

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

### Part C: Solve \( -1 = 5x - 6 \)
To solve the equation \( -1 = 5x - 6 \):
1. Add 6 to both sides:
\[
-1 + 6 = 5x \implies 5 = 5x
\]
2. Divide both sides by 5:
\[
x = 1
\]
So,
\[
x = 1
\]

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

### Part E: What is a key feature of \( f(0) \)?
The value \( f(0) = -6 \) represents the y-intercept of the function \( f(x) \). The y-intercept is the point where the graph of the function intersects the y-axis.

So, for part E:
- **Key feature of \( f(0) \)**: It is the **y-intercept**.

In summary:
- Part B: \( f(7) = 29 \)
- Part C: \( x = 1 \) for \( -1 = 5x - 6 \)
- Part D: \( f(0) = -6 \)
- Part E: \( f(0) \) is the **y-intercept**.