Compare Linear vs Exponential

• The exponential function NEVER exceeds the linear Functions

• The exponential functions ALWAYS exceeds the linear function

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

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

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

• Exponential Functions NEVER exceed Linear Functions

• Exponential Functions ALWAYS exceed Linear Functions

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

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

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

• True

• False

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

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)?

• (0,6)

• (0,5.5)

• (6,∞)

• (-∞,6)

Which statement below is TRUE regarding the two functions?

• Both functions are linear

• Both functions are increasing

• Both functions have a y-intercept of 1

• Both functions are exponential growth

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Which statement below is TRUE regarding the functions pictured?

• Both functions have a y-intercept of 3

• Both functions are increasing

• Both functions are linear

• Both functions have a MULTIPLYING pattern

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

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)?

• (0,1)

• (1,0)

• (1,∞)

• (1,6)

What is a difference between an exponential equation and linear equation

• Exponentials have an asymptote and linear doesn't

• Exponentials have a vertex and linear doesnt

• They both have an asymptote

• Exponentials have an asymptote but linear has a vertex

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9