Graphs Exponential Functions

What is the domain of this function?

Answer explanation

The domain of all exponential functions is negative to positive infinity. This is because you can plug in any x-value and get a y-value from the function. Always list the domain from lowest value to highest value.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the range of this function?

Answer explanation

This function has an asymptote at y=4 and is decreasing. The bottom bound will be negative infinity. The top most y-value is 4, but we use a curved bracket, because 4 is not included (just infinitely close to 4).

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the y-intercept of this function?

Answer explanation

The function crosses the y-axis at y=3.

Is this function increasing or decreasing?

• Increasing

• Decreasing

Answer explanation

This function is decreasing, because as you move from left to right, the y-values get smaller.

What is the domain of this function?

Answer explanation

The domain of all exponential functions is negative to positive infinity. This is because you can plug in any x-value and get a y-value from the function. Always list the domain from lowest value to highest value.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the range of this function?

Answer explanation

This function has an asymptote at y=0 and is decreasing. The bottom bound is the asymptote, y=0. Use a curved bracket, because we approach but never reach y=0. The upper bound is positive infinity. (As you move to the left, the y-values will go up forever).

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the y-intercept of this function?

Answer explanation

The function crosses the y-axis at y=3.

Tags

CCSS.HSF-IF.C.7E

Does this function have an x-intercept?

• Yes

• No

Answer explanation

Since there is an asymptote at y=0, this function does NOT have an x-intercept.

Tags

CCSS.HSF-IF.C.7E

What is the end behavior of this function?

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Tags

CCSS.HSF-IF.C.7E

Which equation matches the graph?

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Tags

CCSS.HSF.LE.A.2