# 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) = 5x^{2} + 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) = x^{2} + 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) = -4x^{2} - 8x

A) minimum; 4

B) maximum; 4

C) maximum; - 4

D) minimum; - 4

12) f(x) = x^{2} + 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) x^{2} + y^{2} + 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) = x^{2} + 4x - 5