Question

Practice evaluating functions using function notation.

Consider the function f(x) = -3x + 5.



PLEASE HELP IVE BEEN CRYING

Answer 1

Answer: I understand that you're feeling overwhelmed. Let's try to solve this problem together.

To evaluate the function f(x) = -3x + 5 at a specific value of x, we substitute that value into the expression and simplify. For example, if we want to evaluate the function at x = 2:

f(2) = -3 * 2 + 5 = -6 + 5 = -1

So f(2) = -1. This means that the value of the function when x = 2 is -1.

If you have any other questions or concerns, I'm here to help!

Explanation:

Answer 2

The results of the evaluation are

a)f(t) = -3t + 5

No change in the line

b) f(2t) = -6t + 5

The steepness decreases

c) f(t+1) = -3t +2

The line shifts downward by 3 units and the slope remains unchanged.

What are function notation?

Function notation represents a mathematical function, typically written as f(x), where "f" is the function and "x" is the input variable.

Given

f(x) = -3x +5

a) f(t)

Substitute t for x in the main equation and simplify

f(t) = -3t + 5

The slope does not change. The line conincide with original line.

b) f(2t)

Substitute 2t for x in the main equation and simplify

f(2t) = -3(2t) + 5

= -6t + 5

The slope is -6 and the steepness of the function reduces.

c) f(t+1)

Substitute t+1 for x in the main equation and simplify

f(t+1) = -3(t+1) + 5

= -3t -3 + 5

= -3t +2

The line is shift downward by 3units. The steepness does not change.