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MATH 128-003 Exam

MULTIPLE CHOICE (2 pts. each). Choose the one alternative that best completes the statement or answers the
question.
Find the slope-intercept form of the equation of the line with the given properties.
1) Slope = 4; containing the point (-2, -2)
A) y = 4x + 6
B) y = -4x + 6
C) y = -4x - 6
D) y = 4x - 6

Write the standard form of the equation of the circle with radius r and center (h, k).

Solve the problem.
3) Find (f - g)(3) when f(x) = 5x² + 2 and g(x) = x + 1.
A) 43
B) -50
C) 49
D) 45

The graph of a function f is given. Use the graph to answer the question.
4) Find the numbers, if any, at which f has a local maximum. What are the local maxima?

A) f has a local maximum at x = -π and π; the local maximum is -1
B) f has a local maximum at x = 0; the local maximum is 1
C) f has no local maximum
D) f has a local maximum at -π; the local maximum is 1

Find the domain of the function.

Write an equation that results in the indicated translation.
6) The square root function, shifted 9 units to the right

Use the figure to solve the inequality.

Find the average rate of change for the function between the given values.
8) f(x) = x² + 2x; from 1 to 6
A) 48/5
B) 9
C) 15/2
D) 8

9) f(x) = -2x + 4; from 1 to 2
A) -4
B) 2
C) 4
D) -2

Graph the function.

Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and
then find that value.
11) f(x) = -4x² - 8x
A) minimum; 4
B) maximum; 4
C) maximum; - 4
D) minimum; - 4

12) f(x) = x² + 6 12)
A) minimum; 6
B) maximum; 6
C) maximum; 0
D) minimum; 0

The graph of a function f is given. Use the graph to answer the question.

13) Is f(40) positive or negative?

A) positive
B) negative

Determine algebraically whether the function is even, odd, or neither.
14)

A) even
B) odd
C) neither

Determine if the type of relation is linear, nonlinear, or none.

A) none B) nonlinear C) linear

SHORT ANSWER (10 pts. each). Write the word or phrase that best completes each statement or answers the question.
Find the center (h, k) and radius r of the circle with the given equation.
16) x² + y² + 8x - 18y = -61

Find the vertex and axis of symmetry of the graph of the function, and state whether the function has a maximum or
minimum value.
17) f(x) = x² + 4x - 5