Retest #2

Is the equation linear, exponential or neither?

• Linear
• Exponential
• Neither

Identify the common ratio (multiplier) of the function f(x)=2(4)^x.

• 2
• 4
• (2)^x
• 8

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

• 2
• 4
• (2)^x
• 8

Which of the following is an exponential function?

• y = x²

• f(x) = 3x³

• y = x³

• f(x) = 3^x

James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after x weeks.

• y = 70(x)²

• y = 70(2)^x

• y = 2(70)^x

• y = 5(70)^x

What is the starting amount for the following function:
f(x) = 3(1/3)^x 

• 0
• 1/3
• 1
• 3

What is the initial value?

• 0
• 3
• 33
• 66

The relationship in the table is ​ (a)   because each consecutive row shows ​ (b)   .

• linear
• repeated addition
• exponential
• repeated multiplication

Answer explanation

If you look at the y column, you can find the next y-value by adding 2.

Another way to find this pattern is to subtract the y-values by the previous y-value. When you do this subtraction, the result is always 2.

This means the table shows REPEATED ADDITION.

Repeated multiplication indicates LINEAR GROWTH because we can represent y with a linear expression.

The relationship in the graph is ​ (a)   because the graph is ​ (b)   .

• exponential
• curved
• changing
• linear
• a straight line
• constant

The relationship in the graph is ​ (a)   because the graph is ​ (b)   .

• linear
• a straight line
• constant
• exponential
• curved
• changing