Water begins leaking from a pool at time t = 0 minutes. The rate of water leaking from the pool is increasing for 0 ≤ t ≤ 10 minutes, and the rate of water leaking from the pool is decreasing for 10 ≤ t ≤ 20 minutes. For this scenario, which of the following graphs could model the volume of water in the pool as a function of time?

• 
• 
• 
• 

Tags

CCSS.HSF.IF.B.4

Tags

CCSS.HSA.APR.C.5

The table shows the average number of cars per day, in thousands of cars, that pass through a bridge in a certain city, starting in January (t = 0). A quadratic regression is used to model the average number of cars per day as a function of months since January. What average number of cars per day, in thousands of cars, is predicted by the model for September (t = 8)?

• 77.167

• 78.460

• 83.920

• 87.320

• 0

• 1.253

• 1.772

• 1.914

Tags

CCSS.HSF.TF.B.7

The table gives values of the function f. The function g is a transformation of f such that the graph of g has a vertical dilation by a factor of 2 and a horizontal dilation by a factor of 3. The value of g(3) is

• -4

• -1

• 2

• 8

Consider the functions f and g given by f(x) = 2 cos(0.2x) and g(x) = 1.4 csc(0.4x). At what value of x do the graphs of y = f(x) and y = g(x) intersect on the interval 0 ≤ x ≤ π?

• 1.812

• 2.216

• 2.387

• The graphs do not intersect on this interval.

Tags

CCSS.HSF.TF.B.7

Tags

CCSS.HSF.BF.A.2

The figure shows the function y = f(x) graphed in the xy-plane with five points labeled. Points A and E are relative maxima, points B and D are zeros, and point C is a relative minimum. If the function f is graphed on the polar axis, on which intervals is the distance between the graph of r = f(θ) and the origin increasing?

• From A to C

• From C to E

• From A to B and from C to D

• From B to C and from D to E

• −1.500

• −1.292

• 2.449

• 2.828

Tags

CCSS.HSF-IF.C.8B

The figure shows the graph of the sinusoidal function y = −6 cos((π/2)x) + 3. Let A represent the function’s amplitude, T represent the function’s period, and M represent the y-value of the function’s midline. Which of the following compound inequalities correctly orders A, T, and M from least to greatest?

• A < M < T

• A < T < M

• M < A < T

• M < T < A

Tags

CCSS.HSF-IF.C.7E