Use the Law of Exponents to rewrite and simplify the expression.

$$1/∛x^4$$

Evaluate f(-3), f(0), and f(2) for the piecewise defined function. Then sketch the graph of the function. f(x) = {x + 2 if x < 0 1 - x If x ≥ 0}

Mental Math Solve each equation. log2 (1/32) = x

Find the exact value of each expression.

$$\log _{2} 32$$

Find the inverse of the function.

$$y = e ^ { x - 4 }$$

Find the inverse of each function. f(x) = x² + 7, x ≥ 0

Sketch the general shape of the graph of the exponential function for each of the following cases.( i) a>1 (ii) a=1 (iii) 0<a<1

Write an equation that defines the exponential function with base a > 0.

The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $380 to drive 480 mi and in June it cost her$460 to drive 800 mi. Why does a linear function give a suitable model in this situation?

Classify each function as a power function, root function, polynomial (state its degree), rational function, algebraic function, trigonometric function, exponential function, or logarithmic function. $f(x)=\log _{2} x$

What is a one-to-one function?

Use a graphing calculator or computer to determine which of the given viewing rectangles produces the most appropriate graph of the function

$$f(x)=√x^3-5x^2.$$

[-5, 5] by [-5, 5]

What is a function? What are its domain and range?

The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $380 to drive 480 mi and in June it cost her$460 to drive 800 mi. What does the C-intercept represent?