Exploring Adding and Subtracting Rational Expressions

What is the first step in evaluating a piecewise function?

• Substitute the value of x

• Simplify the equation

• Identify the domain rule

• Graph the function

If f(x) = -5x for x > 0, what is f(7)?

• -7

• 0

• 35

• -35

For g(x) = 4^x, what is g(-2)?

• 4

• 16

• 1/16

• 1/4

What is the value of h(-5) if h(x) = -11 + 3x for x < 1?

• -26

• -35

• -15

• -11

Which function rule should be used for f(-2) if x <= 0?

• f(x) = x^2

• f(x) = -5x

• f(x) = 4^x

• f(x) = 2x + 1

What is the value of g(-4) if g(x) = 16 - 4x - 7 for x < -2?

• 16

• -5

• -16

• 5

When graphing a piecewise function, what does a closed circle represent?

• The function is undefined at that point

• The function is continuous at that point

• The function is greater than at that point

• The function is less than at that point

What is the vertex of the parabola for f(x) = -2x^2 + 5 if x < 2?

• (0, 5)

• (1, 3)

• (2, -3)

• (3, -2)

For the function f(x) = x - 7, what is the y-intercept?

• 1

• 0

• 7

• -7

What is the domain of a piecewise function that extends all the way left and right?

• All positive numbers

• All integers

• All negative numbers

• All real numbers