In this worksheet, we will practice finding the intersection of an exponential function with the coordinate axes.

**Q1: **

What is the point of intersection of the -axis and the graph of the function ?

- A
- B
- C
- D

**Q3: **

The curve with equation is the image of the curve with equation under reflection in which axis?

- A -axis
- B -axis

**Q4: **

Determine whether the function is increasing or decreasing.

- Adecreasing on its range
- Bdecreasing on its domain
- Cincreasing on its range
- Dincreasing on its domain

**Q5: **

Find the domain and range of , and determine whether it is an increasing function or a decreasing function.

- Adomain, range, decreasing on its domain
- Bdomain, range, increasing on its domain
- Cdomain, range, increasing on its domain
- Ddomain, range, decreasing on its domain

**Q6: **

Find the domain and range of , and determine whether it is an increasing function or a decreasing function.

- Adomain, range, increasing on its domain
- Bdomain, range, decreasing on its domain
- Cdomain, range, decreasing on its domain
- Ddomain, range, increasing on its domain

**Q7: **

For what values of is the function increasing on its domain?

- A
- B
- C
- D

**Q8: **

Consider an exponential function with base . For which values of is the function decreasing?

- A
- B
- C
- D

**Q9: **

The graph shows the two functions and defined for . Both are decaying at a rate of .

What is the ratio of ?

What is the ratio of ?

Suppose that and with . How do and compare if at some point ?

- A
- B
- C
- D

**Q10: **

Suppose that .

Evaluate .

Evaluate .

Evaluate .

Evaluate .

**Q11: **

Find the point of intersection of the graph of with the straight line .

- A
- B
- C
- D
- E

**Q12: **

What is the point of intersection of the -axis and the graph of the function ?

- A
- B
- C
- D

**Q13: **

The curve with equation is the image of the curve with equation under reflection in which axis?

- A -axis
- B -axis