Is It Exponential?
This type of function has the variable in the exponent.
What is an exponential function?
If y-values are multiplied by the same number each time x increases by 1, the relationship is this type.
What is exponential?
Evaluate y= 2(3)^0.
What is 2?
The domain of any exponential function is this set.
What are all real numbers?
What is the y‑intercept of the function y = 7(2)^x?
What is 7?
Is the function y = 3x + 7 exponential? Why or why not?
What is no, because the variable is not in the exponent?
A table shows y-values increasing by 4 each time x increases by 1. Is this linear or exponential?
What is linear?
Evaluate y=5(2)^2
What is 20?
The range of an exponential function with a positive coefficient is this.
What is y>0?
A function starts at 4 and doubles each time. Write the exponential function.
What is y = 4(2)^x?
Which part of the function y=a(b)^x determines whether the function grows or decays?
What is b?
A table starts with y = 10 and triples each step. Write the base of the exponential function.
What is 3?
Evaluate y=4(0.5)^3.
What is 0.5?
Describe the end behavior of an exponential decay function as x increases.
What is y approaches 0?
A function starts at 10 and decreases by half each step. Write the function.
What is y = 10(0.5)^x?
Explain why y = 5(0.8)^x represents exponential decay.
What is the base is between 0 and 1?
or What is < 1?
A table shows y = 81 when x = 0 and y = 27 when
x = 1. Is this growth or decay?
What is decay?
Evaluate y=−3(2)^4.
What is −48?
What happens to the graph of an exponential function when it is multiplied by −1?
What is it reflects over the x‑axis?
A population begins at 50 and triples every unit. Write the function.
What is y = 50(3)^x?
A function doubles each time x increases by 1. What type of function is this?
What is an exponential growth function?
Explain how you can tell the difference between a linear and exponential table without graphing.
What is linear has constant differences, exponential has constant ratios?
Explain why y = 6(1)^x is not exponential growth or decay.
What is because the value never changes?
Explain how the y‑intercept of an exponential function can be identified from its equation.
What is it equals the coefficient a when x = 0?
Explain how you would write an exponential function from a graph.
What is identify the y‑intercept and growth/decay factor?