AFDA Unit 4 Test Review

Match each function with a point on its graph.

• (1, 18)

• (-1, 2)

• (-1, 6)

• (0, -2)

Answer explanation

Use the table feature in Desmos! Video shows how.

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Answer explanation

Use Desmos to graph, if needed. Pay attention to an exponential graph's key features, such as general shape (growth vs decay) and y-intercept.

Match the following, referencing the graph of f(x), shown.

• increases without bound

• As x increases without bound, the graph of f(x) _____

• exponential growth

• As x decreases without bound, the graph of f(x) _____

• approaches y=0

• This graph shows _________

Answer explanation

"As x decreases without bound" means look to the left. What is happening to your graph there? We can see it is going towards the x-axis, aka the line y=0.

"As x increases without bound" means look to the right. What is happening to your graph there? We can see it is going up towards infinity, aka increasing without bound.

Since this exponential function's graph increases, it is exponential growth.

Match the following, referencing the graph of g(x), shown.

• exponential decay

• As x increases without bound, the graph of g(x) _____

• approaches y = -1

• This graph shows _________

• increases without bound

• As x decreases without bound, the graph of g(x) _____

Answer explanation

"As x decreases without bound" means look to the left. What is happening to your graph there? We can see the graph is going up towards infinity, aka increasing without bound.

"As x increases without bound" means look to the right. What is happening to your graph there? We can see it is leveling out at the horizontal line (asymptote) y = -1.

Since this exponential function's graph decreases, it is exponential decay.

• Vertical translation up 2

• Vertical translation down 2

• Horizontal translation left 2

• Horizontal translation right 2

Answer explanation

Check out this video for a quick review of transformations of exponential graphs!

• Vertical translation up 1

• Vertical translation down 1

• Horizontal translation left 1

• Horizontal translation right 1

Answer explanation

Check out this video for a quick review of transformations of exponential graphs!

• Vertical translation up 1

• Vertical translation down 1

• Horizontal translation left 1

• Vertical translation up 3

• Horizontal translation left 3

Answer explanation

Check out this video for a quick review of transformations of exponential graphs!