Advanced Algebra Final Exam

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

• (1, 4) and (4, 6)
• (-4, -1) and (-6, -4)
• (-1, -4) and (-4, -6)
• (4, 1) and (6, 4)

What does it mean to find the inverse of a function?

• the x's and y's are switched
• the x's and y's are divided by 2
• the x's and y's are made negative
• the x's and y's are the same

Determine f^-1(2) given the following information about an invertible function, f(x)
f(1) = -3
f(2) = -2
f(-1) = 2
f(3) = -1

• 1
• -1
• 2
• -2

If f and g are inverse functions, and
f(2) = -1     g(1) = -2     f(1) = -2, 
then which of the following MUST be true?

• g(-2) = -1
• g(2) = 1
• g(-2) = 1
• g(1) = 2

What is the best description?

• They are both functions, but not inverse functions.

• They are inverse functions.

• They are reflected over y=x, but they are not both functions.

• They are not reflected over y=x, and they are not both functions.

What is the equation of the horizontal asymptote for following exponential function?

• y = -2

• y > -2

• y < -2

• (0, -2)

what is the equation of the parent function of an exponential ...

• $y=b^x$

• $y=b^2$

• $y=\ mx\ +b$

• $y=\sqrt{b}$

In the parent function of an exponential the domain is ...

• $\left(-\infty,\infty\right)$

• $\left(-\infty,-\infty\right)$

• $\left[-\infty,\infty\right]$

• $\left(\infty,-\infty\right)$

What is the domain and range of the exponential function shown?

• Domain all real numbers and range y > 1.

• Domain all real numbers and range y > 2.

• Domain all real numbers and range y < 2.

• Domain x > 2 and range y > 2.

What is the domain of the exponential function shown?

• All real numbers.

• x > -7

• x < -7

• x > 7