Topic 6 Review

Is the graph linear, exponential or neither?

• Linear

• Exponential

• Neither

Answer explanation

The graph is linear because it shows a constant rate of change, represented by a straight line. In contrast, an exponential graph would curve upwards or downwards, indicating a variable rate of change.

Is the pictured graph growth, decay, or linear or none?  

• Growth

• Decay

• Linear

• None

Answer explanation

The graph shows a decrease in values over time, indicating that it is a decay function. Growth would show an increase, linear would be a straight line, and none would indicate no clear pattern.

Tags

CCSS.HSF-IF.C.7E

Is the pictured graph growth, decay, or linear or none?  

• Growth

• Decay

• Linear

• None

Answer explanation

The graph shows an increasing trend over time, indicating that the values are rising. This characteristic defines growth, making 'Growth' the correct choice.

Tags

CCSS.HSF-IF.C.7E

What is the y-intercept of the function?

• 2

• 3

• 1

• -2

Answer explanation

The y-intercept of a function is the value of y when x is 0. In this case, the correct y-intercept is 3, which means the function crosses the y-axis at the point (0, 3).

Tags

CCSS.HSF-IF.C.7E

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

• (.27)^x

• .27

• 13

• 3.51

Answer explanation

In the function f(x)=13(0.27)^x, the y-intercept occurs when x=0. Substituting x=0 gives f(0)=13(0.27)^0=13(1)=13. Thus, the y-intercept (initial value) is 13.

Tags

CCSS.HSF.LE.B.5

Identify the y-intercept (initial value) of the function f(x)=2(4)^x.

• 2

• 4

• (2)^x

• 8

Answer explanation

To find the y-intercept of f(x)=2(4)^x, evaluate f(0). This gives f(0)=2(4)^0=2(1)=2. Thus, the y-intercept (initial value) is 2.

Tags

CCSS.HSF.LE.B.5

Identify the growth rate of the function f(x)=2(4)^x.

• 2

• 4

• (2)^x

• 8

Answer explanation

The function f(x)=2(4)^x can be rewritten as f(x)=2*4^x. The base of the exponential part is 4, which indicates the growth rate. Therefore, the growth rate of the function is 4.

Tags

CCSS.HSF-IF.C.8B

Is the following function and example of decay or growth?

f(x)=2(0.85)^x

• Exponential Decay

• Exponential Growth

Answer explanation

The function f(x)=2(0.85)^x has a base of 0.85, which is less than 1. This indicates that as x increases, the value of f(x) decreases, demonstrating exponential decay.

Tags

CCSS.HSF-IF.C.8B

Which of the following is an increasing exponential function whose y-intercept is 50?

• y = 50(.05)^x

• y = 50x - 4

• y = (2)^x + 50

• y = 50(1.4)^x

Answer explanation

The function y = 50(1.4)^x is an increasing exponential function with a y-intercept of 50, as it equals 50 when x=0. The other options do not meet both criteria.

Tags

CCSS.HSF.LE.A.2

Is the following function an example of decay or growth?

f(x) = 2(1.25)^x

• Exponential Growth

• Exponential Decay

Answer explanation

The function f(x) = 2(1.25)^x has a base greater than 1 (1.25), indicating it is an example of exponential growth. As x increases, f(x) increases, confirming the growth behavior.

Tags

CCSS.HSF.LE.B.5

CCSS.HSF.LE.A.1