Interpret Functions

The average temperature in a city can be approximated by the function f where w is the number of weeks.

What is the period and what does it tell us in this context?

• 52 weeks in a year.
  

• After 52 weeks the average temperatures will begin repeating.
  

• 52 weeks in 2π
  

A ball is thrown into the air with a speed of 32 feet per second. The function $ h = 32t - 16t^2 $ models the height of the ball after t seconds. How many seconds does it take for the ball to reach its maximum height?

• 0.75 seconds

• 1 second

• 2 seconds

• 4 seconds

A ball is thrown into the air from the edge of a 48-foot high cliff so that it eventually lands on the ground. The graph below shows the height, y, of the ball from the ground after x seconds. For which interval is the ball’s height always decreasing?

• A 0 ≤ x ≤ 2.5

• B 0 < x < 5.5

• C 2.5 < x < 5.5

• D x ≥ 2

The graph below shows the amount of Amanda’s paycheck based on a 40 hour work week, plus her commission from sales. Amanda earns 50% of the total amount of sales that she makes. Which is the best interpretation of the y-intercept of the graph?

• A Amanda’s paycheck will be $100 when she makes no sales.

• B Amanda’s paycheck will be $0 when she makes $100 in sales.

• C Amanda’s paycheck will be $125 when she makes $50 in sales.

• D Amanda’s paycheck will be $150 when she makes $100 in sales.

The amount of profit a company makes from selling video games for x dollars is modeled by the function P(x) = -x^2 + 100x + 350,000. To the nearest dollar, what price gives the maximum profit?

• $40.00

• $45.00

• $50.00

• $55.00

A child is playing outside. The graph shows the child’s distance, d(t), in yards from home over a period of time, t, in seconds. Which interval represents the child constantly moving closer to home?

• 0 ≤ t ≤ 2

• 2 ≤ t ≤ 3

• 3 ≤ t ≤ 4

• 4 ≤ t ≤ 6

The graph shown represents a jogger’s speed during her jog around her neighborhood. Which statement best describes what the jogger was doing during the 9 – 12 minute interval of her jog?

• She was standing still.

• She was increasing her speed.

• She was decreasing her speed.

• She was jogging at a constant rate.

The graph shows Ana’s distance from home on an afternoon hike. How far from home was Ana after hiking for 3 hours?

• 1.5 miles

• 2 miles

• 2.5 miles

• 4 miles

Find the rate of change

• 3

• -3

• 20

• Not a constant slope/Non-Linear

What is a possible scenario for the given table?

• You have $8 and get $5 more each day!

• You have $16 and get $2 more each day!

• You have $2 and get $6 more each day!

• You have $6 and get $2 more each day!