Evaluating Functions

If f(x) = -2x + 13, what is f(10)?

• -5

• -7

• -10

• -3

What does it mean for a function to be increasing?

• A function is increasing on an interval if, as x increases, f(x) also increases.

• A function is increasing if its graph slopes downward from left to right.

• A function is increasing when it has a maximum value.

• A function is increasing if it is defined for all real numbers.

What does it mean for a function to be decreasing?

• A function is increasing on an interval if, as x increases, f(x) increases.

• A function is constant on an interval if, as x increases, f(x) remains the same.

• A function is decreasing on an interval if, as x increases, f(x) decreases.

• A function is undefined on an interval if, as x increases, f(x) cannot be determined.

For the function f(x) = x + 3, what value of x makes f(x) = -5?

• -5

• -3

• -8

• 0

What is the domain of a function?

• The set of all possible output values (y-values) for which the function is defined.

• The set of all possible input values (x-values) for which the function is defined.

• The range of values that a function can take.

• The maximum and minimum values of a function.

If f(x) = x^2 - 5x, what is f(4)?

• -4

• 0

• 4

• -1

How do you find the x-intercept of a function?

• Set f(x) = 0 and solve for x.

• Find the maximum value of the function.

• Calculate the derivative of the function.

• Evaluate f(x) at x = 0.

What is the vertex of a quadratic function?

• The point where the graph intersects the x-axis.

• The highest or lowest point on the graph, depending on the direction of the parabola.

• The point where the graph intersects the y-axis.

• The midpoint of the line segment connecting the x-intercepts.

If h(x) = x^2 + 3x, what is h(-3)?

• 0

• -6

• 6

• 3

What is the range of a function?

• The set of all possible input values (x-values) that the function can accept.

• The set of all possible output values (y-values) that the function can produce.

• The difference between the highest and lowest values of the function.

• The average of all output values (y-values) produced by the function.