Question

1. what type of function is f(x)=2(1.7)^x?

a) linear
b) none of the above
c) exponential decay
d) exponential growth

1. what type of function is y = 7(0.4)^x?

a) exponential decay
b) none of the above
c) linear
d) exponential growth

1. in the equation y=2x+4, is this exponential or neither?

a) neither
b) exponential
c) linear
9.
y=2^x
is the equation linear, exponential or neither?
a) exponential
b) linear
c) neither
10.
is the graph linear, exponential or neither?
a) linear
b) neither
c) exponential

Explanation:

Question 6 (Assuming \( f(x) = 2(1.7)^x \))

An exponential growth function has the form \( f(x)=ab^x \) where \( a>0 \) and \( b > 1 \). Here, \( a = 2>0 \) and \( b=1.7>1 \), so it's exponential growth.

An exponential decay function has the form \( y = ab^x \) where \( a>0 \) and \( 0 < b< 1 \). Here, \( a = 7>0 \) and \( b = 0.4 \) (which is between 0 and 1), so it's exponential decay.

A linear function has the form \( y=mx + c \) (where \( m \) is slope and \( c \) is y - intercept). The given equation \( y = 2x+4 \) is in this form with \( m = 2 \) and \( c = 4 \), so it's linear.

Answer:

d) Exponential Growth

Question 7 (Assuming \( y = 7(0.4)^x \))