Analyzing exponential functions

Algebraically, how do you find x-intercepts?

• Let x=0 and solve for y.

• Let y=0 and solve for x.

• x-intercept will always be (0,0)

Algebraically, how do you find y-intercepts?

• Let x=0 and solve for y.

• Let y=0 and solve for x.

• y-intercept will always be (0,0)

 $y=2^x$  
What is the y-intercept?

• (0, 1)

• (1, 0)

• (0, 0)

• (0, 2)

 $f\left(x\right)=2^x-7$  
What is the asymptote?

• y = -7

• x = 7

• x = 2

• y = 7

 $f\left(x\right)=2^x+3$  
What is the asymptote?

• y = -3

• x = 3

• x = -3

• y = 3

 $f\left(x\right)=2^x$  
What is the asymptote?

• There is no asymptote

• y = 0

• y = 1

• y = 2

 $f\left(x\right)=2^{\left(x-4\right)}-12$  
What is the asymptote?

• There is no asymptote

• y = -12

• y = -4

• y = 2

 $f\left(x\right)=2^{\left(x-4\right)}-12$  
What is the domain?

• All real numbers

• y > 4

• y < -4

• y > -12

 $f\left(x\right)=2^{\left(x-4\right)}-12$  
What is the range?

• All real numbers

• y > 4

• y < -4

• y > -12

 $f\left(x\right)=2^{\left(x-4\right)}+6$  
What is the range?

• All real numbers

• y > 6

• y < -6

• y > -6