6.12 Unit Test: Exponential Functions - Part 1

The number of students enrolled in a new course as a function of time can be represented by the function. f(c)=(4)^x -1 What is the average increase in the number of students enrolled per hour between hours 2 and 4?

120

what is the average rate of change of the function on the interval from x=0 to x=5? f(x)=1/2(3)^x

24.2

Which ordered pairs lie on the graph of the exponential function f(x)=128(0.5)^x ? Select each correct answer.

3 correct answers: (1,64) (3,16) (8,0.5)

Function f is an exponential function. x: -1, 1, 3, 5, 7 f(x): 1/4, 4, 64, 1024, 16384 By what factor does the output value increase as each input value increases by 1?

4

Let f(x)=4^x and g(x)=(4)^x+1 +2. Which transformations are needed to transform the graph of f(x) to the graph of g(x)?

All correct answers: vertical translation 2 units up horizontal translation 1 unit right

The function f(x)=3(2.5)^x is shown on the coordinate plane. Select from the drop-down menus to correctly describe the end behavior of f(x).

As x decreases without bound, the graph of f(x) approaches y=0. As x increases without bound, the graph of f(x) increases without bound.

which function represents the graph of y=4^x -1?

S

The linear function in the graph shows the population of Greeville in the years since 2010. The exponential function in the table represents the student population of the county that Greeville is in, in years since 2010. How does the y-intercept of the exponential function compare to the y-intercept of the linear function?

The y-intercept of the exponential function is approximately 2000 less than the y-intercept of the linear function.

Let f(x)=8(3)^x-2 +2. the graph of f(x) is stretched vertically by a factor of 3 to form the graph of g(x). what is the equation of g(x)?

g(x)= 24(3)^(x-2) +6

The graph of g(x) is a transformation of the graph of f(x)=3^x. Enter the equation for g(x) in the box.

g(x)=3^x+2 +1

The graph shows the parent function f(x)=(3.5)^x. Which graph represents the function g(x)=(3.5)^x=1?

the graph with points (1,1) and (2,3.5).

Drag and drop the answer into the box to identify each function as linear, exponential, or neither.

x: 1,3,5 f(x): 11,31,51 is linear. x: 0,2,4 f(x): 2,5,9 is neither.