allied mat120 module 6 check your understanding latest 2015

| August 30, 2017

Question
Find (f + g)(–3). and

a. 0

b. 1

c. 2

d. Undefined

Hint: Sections 3.4-3.6

?

?

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

a.

Vertex: (–2, –5); axis: x = –2

b.

Vertex: (2, –5); axis: x = 2

c.

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

d.

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

Hint: Sections 3.4-3.6

SLO5:Graph quadratic and inverse functions.

LO5A:Solve and graph quadratic functions.

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 left and 7 units down.

b. The graph is shifted 7 units right and 4 units down.

c. The graph is shifted 4 units right and 7 units down.

d. The graph is shifted 7 units left and 4 units down.

Hint: Sections 3.4-3.6

Sketch the graph. f(x) = x2 – 4x + 3

a.

b.

c.

d.

Hint: Sections 3.4-3.6

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

a. x = –4

b. x = 4

c. x = –8

d. x = 8

?

Sketch the graph. f(x) = x2 – 4x + 5

a.

b.

c.

d.

Hint: Sections 3.4-3.6

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

a.

b.

c.

d.

Hint: Sections 3.4-3.6

Determine whether the function is one-to-one.

a. One-to-one

b. Not one-to-one

Determine whether the function is one-to-one.

a. One-to-one

b. Not one-to-one

Determine whether the function is one-to-one.

a. One-to-one

b. Not one-to-one

Hint: Sections 3.4-3.6

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.

Hint: Sections 3.4-3.6

SLO4:Graph functions, analyze graphs, perf

ind (f + g)(–3).

a. 0

b. 1

c. 2

d. 3

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) =

Hint:Sections 3.4-3.6

Determine whether the function is one-to-one. {(4, –4), (2, –1), (9, –5), (0, –2), (3, –3)}

a. One-to-one

b. Not one-to-one

Hint: Sections 3.4-3.6

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

a. One-to-one

b. Not one-to-one

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

a. h(x) =

b. h(x) =

c. h(x) =

d. h(x) =

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

a. Yes

b. No

Hint: Sections 3.4-3.6

ind (f g)(1). and

a. 0

b. 1

c. 2

d. Undefined

Match the graph to its equation.

a. f(x) = (x – 1)2 + 4

b. f(x) = (x – 1)2 – 4

c. f(x) = (x + 1)2 + 4

d. f(x) = (x + 1)2 – 4

Hint: Sections 3.4-3.6

Find the inverse function f-1. f(x) = 6 +

a. f-1(x) =

b. f-1(x) =

c. f-1(x) =

d. f-1(x) =

Hint: Sections 3.4-3.6

Graph f(x) = x2 – 2x – 3.

a.

b.

c.

d.

Hint: Sections 3.4-3.6

?

ind (–2)

a. 0

b. 1

c. 2

d. 3

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

a. Yes

b. No

Hint: Sections 3.4-3.6

SLO5:Graph quadratic and inverse functions.

LO5C:Find the inverse of a function.

1

24. Determine whether the function is one-to-one. f(x) = 7×2 + 8

a. One-to-one

b. Not one-to-one

Hint: Sections 3.4-3.6

Determine whether the function is one-to-one. f(x) = 7×2 + 8

a. One-to-one

b. Not one-to-one

Hint: Sections 3.4-3.6

?

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

a.

b.

c.

d.

V

?

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

a.

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

b.

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

c.

Vertex: (–12, 10); axis: x = –12

d.

Vertex: (–12, 10); axis: x = –12

Hint: Sections 3.4-3.6

?

?

Graph f(x) = –x2 + 6x – 5.

a.

b.

c.

d.

Hint: Sections 3.4-3.6

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

a. (f + g)(x) =

b. (f + g)(x) =

c. (f + g)(x) =

d. (f + g)(x) =

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

a. (fg)(x) =

b. (fg)(x) =

c. (fg)(x) =

d. (fg)(x) =

etermine whether the function is one-to-one. {(–1, –4), (–3, –1), (4, –5), (–5, –4), (–2, –3)}

a. One-to-one

b. Not one-to-one

Hint: Sections 3.4-3.6

SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.

ind (g f)(–6).

a. –3

b. 3

c. 2

d. –2

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

a. (2, 1)

b. (–2, 1)

c. (–1, 2)

d. (–1, –2)

Hint: Sections 3.4-3.6

SLO5:Graph quadratic and inverse functions.

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

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

ind (f – g)(2).

a. –4

b. –1

c. 0

d. –2

Hint: Sections 3.4-3.6

SLO4:Graph functions, analyze graphs, perform operations on functions, and determine if functions are one-to-one.

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