Consider the function f(x) = 5x−6

Question

(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.