Mathematics Function Evaluation Quiz

Josué was given the function $ g(x) = -3x + 5 $ and asked to evaluate the function when $ x = -2, 0, $ and $ 3 $. Which of the following represents Josué’s answer?

The function $ g(x) = \frac{1}{2}f(x + 3) $ describes a transformation on the linear parent function $ f(x) $. Describe the transformation. Select TWO correct answers.

The graph of the line $ y = 3x - 2 $ is shown. What is the equation of this line after it has been translated 3 units to the left?

To become a member at a gym, customers have to pay a start-up fee of $75 and monthly fee of $40. To increase the profit, the gym increases the start-up fee by $125. What is the equation of the function, $ k(x) $, that represents the new membership costs and how much would a customer pay for 5 months at the gym?

To become a member at a gym, customers have to pay a start-up fee of $75 and monthly fee of $40. To increase the profit, the gym increases the start-up fee by $125. What is the total amount a customer would pay for 5 months at the gym?

Isabella wrote the function $ h(x) = 4x $ on the whiteboard. She then created $ s(x) $ by compressing the function vertically by a factor of $ \frac{1}{2} $, shifting it 7 units left, and reflecting it across the x-axis. Part A: What is Isabella’s function represented by $ s(x) $?

Isabella wrote the function $ h(x) = 4x $ on the whiteboard. She then created $ s(x) $ by compressing the function vertically by a factor of $ \frac{1}{2} $, shifting it 7 units left, and reflecting it across the x-axis. Part B: Evaluate $ s(x) $ when $ x = 6 $. What is the output?