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WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

1. Consider the graph of h(t) shown. The function represents the height, h, in feet, of a ball t seconds after being launched.

What is the point, if any, at which the concavity changes from concave down to concave up?

A) The graph is always concave down.
B) At t=0.705
C) At t=1.41
D) The graph is always concave up.

2. The function f(z) represents the relationship between the number of units in two inventories, where z is the number of units in inventory A and f(z) is the number of units in inventory B. The number of units in inventory B is 2 more than the number of units in inventory A. Which function represents this situation?

A) f(z)=z#2
B) f(z)=2z
C) f(z)=z+2
D) f(z)=z/2

3. The populations, in thousands, of two towns are shown in the graph, where the horizontal axis measures the time in years.

Which town's population is growing at a faster rate?

A) Town A, because 8.0 > 5.5
B) Town B, because 1.3 > 1.0
C) Town A, because 1.3 > 1.0
D) Town B, because 8.0 > 5.5

4. A researcher collected data on the number of annual bear sightings in a region over time. The results are shown in the scatterplot. A regression function is graphed with r^2=0.42. The predicted number of annual bear sightings after 19.5years is 62.2.

Is this prediction appropriate?

A) No. The r^2value indicates a moderate fit, but x=19.5is more than 25%of the range beyond the maximum value.
B) No. The r^2value indicates a strong fit, but x=19.5is more than 50%of the range beyond the maximum value.
C) Yes. The r^2value indicates a strong fit, and x=19.5is within 50%of the range of the maximum value.
D) Yes. The r^2value indicates a moderate fit, and x=19.5is within 25%of the range of the maximum value.

5. A new company just launched and is using the function M(t)to predict its market share after tyears. The graph of M(t)is shown.

When should the company expect to have a market share of 60%?

A) After 2 years
B) After 6 years
C) After 5 years
D) After 6.6 years

Solutions: