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

Answer 1

Sure! Let's go through each part step by step.

### Part A: Graph the function
To graph the function \( f(x) = 5x - 6 \) using Desmos, you can simply enter the equation in the Desmos graphing calculator online. However, I cannot display an actual graph here, but you can easily visualize it as a straight line due to it being a linear function.

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

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

2. Divide by 5:
\[
x = 1
\]

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

### Part E: What is a key feature of \( f(0) \)?
In this case, \( f(0) = -6 \) means that the y-intercept of the graph is \(-6\). So, specifically, we can say:

- The **y-intercept** of \( f(x) = 5x - 6 \) is \(-6\).

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