Module Six Algebra Quiz

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Wednesday Algebra Quiz

Module 6 Check Your Understanding

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Question

Find (g f)(–3). and

a. 4

b. 5

c. 6

d. Undefined

Find (f + g)(–3).

a. 0

b. 1

c. 2

d. 3

Find (f + g)(–3). and

a. 0

b. 1

c. 2

d. Undefined

Determine if g is the inverse of f. f(x) = 3x – 1 g(x) =

a. Yes

b. No

Find (–2)

a. 0

b. 1

c. 2

d. 3

Graph f(x) = –x2 – 6x – 5.

Determine whether the function is one-to-one. f(x) = 7x2 + 8

a. One-to-one

b. Not one-to-one

Find (f – g)(2).

a. –4

b. –1

c. 0

d. –2

Find f + g. f(x) = and g(x) =

a. (f + g)(x) =

b. (f + g)(x) =

c. (f + g)(x) =

d. (f + g)(x) =

10.

Which of the following is a brief verbal description of the relationship between the graph of the indicated function and the graph of y = x2?

a. The graph is shifted 4 units to the right and 6 units up.

b. The graph is shifted 4 units to the right and 6 units down.

c. The graph is shifted 4 units to the left and 6 units down.

d. The graph is shifted 4 units to the left and 6 units up.

11.

Determine whether the function is one-to-one.

a. One-to-one

b. Not one-to-one

12.

Find the axis of symmetry. f(x) = x2 + 8x – 9

a. x = –4

b. x = 4

c. x = –8

d. x = 8

13.

Find the inverse function f-1. f(x) = 3x + 8

14.

Find the coordinates of the vertex. f(x) = x2 – 4x + 5

a. (2, 1)

b. (–2, 1)

c. (–1, 2)

d. (–1, –2)

15.

Determine whether the function is one-to-one.

a. One-to-one

b. Not one-to-one

16.

Find (g(f(2)).

a. –1

b. 0

c. 1

d. 2

17.

Find the inverse function f–1. Then graph both functions on the same set of axes. f(x) = 2x – 4

18.

Find the vertex and axis of the parabola, then draw the graph.

Vertex: (12, 10); axis: x = 12

Vertex: (–12, 10); axis: x = –12

19.

Sketch the graph. f(x) = x2 – 4x + 5

20.

Find (fg)(–4).

a. –4

b. –3

c. –2

d. –1

21.

Find h(x) = (g f)(x). f(x) = and g(x) = 3x – 5

a. h(x) =

b. h(x) =

c. h(x) =

d. h(x) =

22.

Find the vertex and axis of the parabola, then draw the graph.

Vertex: (–2, –5); axis: x = –2

Vertex: (2, –5); axis: x = 2

Vertex: (2, 5); axis: x = 2

23.

Determine if g is the inverse of f. f(x) = x3 + 5 g(x) =

a. Yes

b. No

24.

Find f-1. f(x) = x2 – 5, x > 0

a. f-1(x) =

b. f-1(x) =

c. f-1(x) =

d. f-1(x) =

25.

Graph f(x) = x2 – 2x – 3.

26.

Determine whether the function is one-to-one. f(x) = –2x – 1

a. One-to-one

b. Not one-to-one

27.

Find the equation of the axis of symmetry. f(x) = x2 – 4x + 5

a. x = –2

b. x = –1

c. x = 1

d. x = 2

28.

Find the standard form of the equation for the quadratic function whose graph is shown.

a. f(x) = –x2 + 6x – 5

b. f(x) = –x2 – 6x – 5

c. f(x) = –x2 + 3x – 5

d. f(x) = –x2 – 3x – 5

29.

Determine whether the function is one-to-one.

a. One-to-one

b. Not one-to-one

30.

Find f – g. f(x) = and g(x) =

a. (f – g)(x) =

b. (f – g)(x) =

c. (f – g)(x) =

d. (f – g)(x) = -

31.

Find h(x) = (f + g)(x). f(x) = 4x2 – 3x + 5 and g(x) = 5x2 – 2x

a. h(x) = 9x2 - 5x + 5

b. h(x) = 8x2 + 5x + 1

c. h(x) = 8x2 + 5x – 2

d. h(x) = 5x2 + 8x – 2

32.

Determine whether the function is one-to-one.

a. One-to-one

b. Not one-to-one

33.

Determine whether the function is one-to-one.

a. One-to-one

b. Not one-to-one

34.

Find f / g. f(x) = and g(x) =

35.

Sketch the graph. f(x) = x2 – 4x + 3

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