Modeling With Functions

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of f(g(4)).

• 182

• 40

• 61

• None of the Above

Find f[g(5)]

• 30

• 242

• 92

• 2

which pair of functions could represent f\left(x\right)\ and\ g\left(x\right)?

• I only 

• I and II

• I and III

• I , II and III

For the function f(x) and g(x) given in the graph. What does f(g(2)) equal?

• 4

• 5

• 0

• 2

• 0

• -6

• 6

• 18

Given f(x) = x² - 3 and g(x) = x - 3, find f(g(f(3))).

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Answer explanation

6

The equation y = 3x + 8 models the amount of snow in inches(y) after x hours.

Interpret the y-intercept

• 8 inches of snow falls in 3 hours.

• 3 inches of snow falls in 8 hours.

• When we started measuring, there were already 8 inches of snow on the ground.

• Every hour, 3 new inches of snow accumulates.

Who is losing weight faster?

• Valerie

• Oscar

• Mrs. Conte

• They are losing the same amount of weight

The graph shows the amount of money you owe a bank after x months. What does the x-intercept mean?

• The amount of money you owe initially

• The number of months it took to pay back all the money

• The amount of money paid each month

• The number of months it took to pay half the money back

The graph represents the money in a savings account.  What is the meaning of the y-intercept?

• The initial deposit was $30

• $30 is added to the account each week

• It took 30 weeks to same enough money to open an account

• not enough information