Linear, Exponential and Quadratic Models

What function best models the data in the table?

• linear

• exponential

• quadratic

Which student's number pattern is linear?

• Ashley

• Hector

• Jamal

• Karina

What function model best represents the data in the table?

• linear

• exponential

• quadratic

Given the points (0,2), (1, 8), (2, 32), (3, 128), (4, 512)...which function best describes the relationship of the points given?

• f(x) = x⁵

• f(x) = 2(4)^x

• f(x) = x + 2

• f(x) = 6x + 2

Monica did an experiment to compare two method of warming an object. The results are shown in the table above. Which statement best describes her results?

• The temperature using both methods changed at a constant rate.

• The temperature using both methods changed at an exponential rate.

• The temperature using Method 2 changed at a constant rate.

• The temperature using Method 2 changed at an exponential rate.

Which statement is true based on the data in the table?

• f(x) is an exponential function

• g(x) is a linear function

• The y-intercept of g(x) is 10

• The slope of f(x) is 3

Two functions are shown below.

For what value of x will f(x) > g(x)?

f(x) = 2x + 6

g(x) = 2(3)^x

• x = 1

• x = 2

• x = 3

• x = 4

Which of the following is true for the following rates of change when x increases?

f(x) = 3x and g(x)=3^x

• both f(x) and g(x) triple

• both f(x) and g(x) increases by 3

• f(x) triples and g(x) increases by 3

• f(x) increases by 3 and g(x) triples

The value of a certain car after x years is modeled by f(x)=15000(0.7)^x. What is the initial value of the car and the depreciating rate?

• 15000 with 70% depreciation rate.

• 15000 with 30% depreciation rate.

• 15000 with 0.7% depreciation rate.

• 15000 with 0.3% depreciation rate.

As x increases, which function will "eventually" have greater function values than all the other functions shown?

• f(x)= 3x²

• f(x) = 2x³

• f(x) = 3(2)^x

• f(x) = 3x + 2