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Examen Final Parcial 11mo

Total questions: 17

Worksheet time: 38mins

Name
Class
Date
1.

Identify and estimate the x- and y-values of the extrema. Round to the nearest tenth, if necessary

a)

(-1,2) (1,-2)

b)

(1,2) (1,2)

c)

(-1,2) (1,2)

d)

(1,2) (1,-2)

2.

Identify and estimate the x- and y-values of the extrema.

a)

(2,-19) (0,-3) (2,-19)

b)

(-2,-19) (0,3) (2,19)

c)

(-2,-19) (0,-3) (2,-19)

d)

(-2,-19) (0,-3) (2,19)

3.

Carlos’s score on a video game after x minutes can be modeled by the graph. Estimate the x-coordinates at which the relative maxima and relative minima occur. Describe the meaning of the extrema in the context of the situation.

a)

The relative maxima occur at x=3 x=5

b)

The relative maxima occur at x=2 x=3

c)

The relative maxima occur at x=2 x=5

d)

The relative maxima occur at x=0 x=3

4.

Carlos’s score on a video game after x minutes can be modeled by the graph. Estimate the x-coordinates at which the relative maxima and relative minima occur. Describe the meaning of the extrema in the context of the situation.

a)

the relative minimum occurs at x=0

b)

the relative minimum occurs at x=3

c)

the relative minimum occurs at x=5

d)

the relative minimum occurs at x=2

5.

Carlos’s score on a video game after x minutes can be modeled by the graph. Estimate the x-coordinates at which the relative maxima and relative minima occur. Describe the meaning of the extrema in the context of the situation.

a)

The relative maximum at x=2 represents his highest score

b)

The relative maximum at x=5 represents his highest score

c)

The relative maximum at x=0 represents his highest score

d)

The relative maximum at x=3 represents his highest score

6.

Carlos’s score on a video game after x minutes can be modeled by the graph. Estimate the x-coordinates at which the relative maxima and relative minima occur. Describe the meaning of the extrema in the context of the situation.

a)

The relative minimum at x=2 represents a low point in his score

b)

The relative minimum at x=3 represents a low point in his score

c)

The relative minimum at x=5 represents a low point in his score

d)

The relative minimum at x=0 represents a low point in his score

7.

Describe the end behavior of the function.

a)

As x→∞, y→∞ x→-∞, y→∞

b)

As x→∞, y→∞ x→-∞, y→-∞

c)

As x→∞, y→-∞ x→-∞, y→-∞

d)

As x→-∞, y→∞ x→-∞, y→-∞

8.

The graph shows the height y of a ball that is thrown from a balcony after x seconds. Describe and interpret the end behavior in the context of the situation.

a)

Because time cannot be negative the function is not defined for x<0

b)

Because time cannot be positive the function is not defined for x<0

c)

Because time cannot be negative the function is not defined for x>0

d)

Because time cannot be positive the function is not defined for x>0

9.

The graph shows the height y of a ball that is thrown from a balcony after x seconds. Describe and interpret the end behavior in the context of the situation.

a)

So, there is end behavior as x→−∞

b)

So, there is no end behavior as x→−∞

10.

Mika and her friends are using a ride-sharing service to take them to a concert. The function models the cost of the ride, f(x), after x miles. Describe the end-behavior of f(x) and interpret it in this context.

a)
b)
c)
d)
11.

Mika and her friends are using a ride-sharing service to take them to a concert. The function models the cost of the ride, f(x), after x miles. Describe the end-behavior of f(x) and interpret it in this context.

a)
b)
c)
12.

Use the key features to select the graph.

x-intercept: (3, 0)

y-intercept: (0, 3)

Linearity: linear

Continuity: continuous

Positive: for values x<3

Decreasing: for all values of x

End Behavior: As x→∞, f(x)→−∞, and as x→−∞, f(x)→∞.

a)
b)
c)
d)
13.

Malinda is planning to become a member of a hotel’s reward program. She will receive 50 reward points for joining and 500 points each time she stays at the hotel on her business travels. Use the key features to select the graph.

a)
b)
c)
d)
14.

Select the terms to compare the key features of the functions represented with a graph and a table.

a)

The y-intercept of f(x) is greater than the y-intercept of g(x).

b)

The y-intercept of f(x) is less than the y-intercept of g(x).

c)

The y-intercept of f(x) is equal to the y-intercept of g(x).

15.

Select the terms to compare the key features of the functions represented with a graph and a table.

a)

The x-intercept of f(x) is greater than the x-intercept of g(x).

b)

The x-intercept of f(x) is less than the x-intercept of g(x).

c)

The x-intercept of f(x) is equal to the x-intercept of g(x).

16.

For the function graphed below, describe when it is positive and when it is negative.

a)

The function is always positive when x<-1 and when x>3

b)

The function is always positive when x is between -1 and 3

c)

The function is always positive when x<0

d)

The function is always positive when x>0

17.

For the function graphed below, describe when it is positive and when it is negative.

a)

The function is always negative when x<-1 and when x>3

b)

The function is always negative when x is between -1 and 3

c)

The function is always negative when x<0

d)

The function is always negative when x>0