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L3-3 Review

Last updated about 2 years ago

12 questions

1

Inspect the graph below. What is the value of k?

1

Inspect the graph below. What is the value of k?

1

Inspect the graph below. What is the value of k?

1

Which of the following equations represents a vertical stretch by a factor of 3 of the function f(x)=\frac{1}{3}x+2?

1

Which of the following equations represents a horizontal translation 6 units to the left of the function f(x)=\frac{1}{3}x+2?

1.5

Given f(x) = –7x + 9 and h(x) = –5(–7x + 9), what are the slope and y-intercept of the graph of function h?

1.5

Let f(x)=3x-1 and h(x)=f(-2x).

A. What is the slope-intercept equation for h(x), (something like h(x)=mx+b)?
B. What is the slope of h(x)?
C. What is the y-intercept of h(x)?

1

Select the equations that accurately match the graph.

1

If f(x)=\frac{7}{5}x-3 and g(x)=f(x+10), which equation defines g(x)?

1

Given f(x) = 8x + 1 and g(x) = f(x − 2), which equation represents g?

1

Keenan buys an embroidery machine for $1,400. He uses it to embroider T-shirts. His total profit in dollars from selling the T-shirts is represented with the function f(x) = 12x − 1,400. When the machine breaks, he pays $135 to have it fixed. How does that cost affect a graph of Keenan’s profit function?

1

ENRICHMENT (OPTIONAL)

Let the functions f, g, and h be defined as follows:

f(x)=x+1
g(x)=\frac{1}{2}x
h(x)=-x

Describe the following transformations:

A) From f(x) to f(g(x))
B) From f(x) to g(f(x))
C) From f(x) to f(h(x))
D) From f(x) to h(f(x))