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Compare Linear vs Exponential

Total questions: 8

Worksheet time: 8mins

Name
Class
Date
1.
a)

The exponential function NEVER exceeds the linear Functions

b)

The exponential functions ALWAYS exceeds the linear function

c)

The linear function exceeds the exponential function over the interval [0, 4]

d)

The exponential function exceeds the Linear functions over the interval [3, 4]

e)

The exponential function exceeds the Linear functions over the interval [4, 5]

2.
a)

Exponential Functions NEVER exceed Linear Functions

b)

Exponential Functions ALWAYS exceed Linear Functions

c)

The linear function exceeds the exponential function over the interval [0, 6]

d)

The exponential function exceeds the Linear functions over the interval [5, 6]

3.

True or False: All increasing exponential functions eventually exceed all increasing linear functions.

a)

True

b)

False

4.

The image shows the graphs of a linear function, f(x), exponential function, g(x), and quadratic function, h(x).

Over what positive interval does f(x) exceed g(x)?

a)

(0,6)

b)

(0,5.5)

c)

(6,∞)

d)

(-∞,6)

5.

Which statement below is TRUE regarding the two functions?

a)

Both functions are linear

b)

Both functions are increasing

c)

Both functions have a y-intercept of 1

d)

Both functions are exponential growth

6.

Which statement below is TRUE regarding the functions pictured?

a)

Both functions have a y-intercept of 3

b)

Both functions are increasing

c)

Both functions are linear

d)

Both functions have a MULTIPLYING pattern

7.

The image shows the graphs of a linear function, f(x), exponential function, g(x), and quadratic function, h(x).

Using only what can be seen in the image, for what positive values does g(x) exceed h(x)?

a)

(0,1)

b)

(1,0)

c)

(1,∞)

d)

(1,6)

8.

What is a difference between an exponential equation and linear equation

a)

Exponentials have an asymptote and linear doesn't

b)

Exponentials have a vertex and linear doesnt

c)

They both have an asymptote

d)

Exponentials have an asymptote but linear has a vertex