Find Maximum and Minimum Values and Zeros with Graphing Calculator

Use the graph to determine the solutions (roots, zeros).

• -1 and -3

• 1 and -3

• 1 and 3

• -1 and 3

Does the following graph have a maximum or minimum value? Try graphing it on a calculator.

• maximum

• minimum

Tags

CCSS.HSF-IF.C.7A

A fountain shoots water in an arc over a lake that can be modeled by the graph of the equation y= -0.4x² + 8x where x is the horizontal distance (in feet) from the fountain base and y is the height (in feet) above the river.  How high does the water go?

• It goes 11.78 feet high

• It goes 20 feet high

• It goes 40 feet high

• It goes 10 feet high

The quadratic equation y= -x^2 - 3x + 4 is graphed below.

What are the zeros of the related function f(x) = -x^2 - 3x + 4?

Hint: the zeros are the x-intercepts.

• -3 and 4

• -4 and 1

• 0 and 4

• -3 and -4

What is the minimum value of the quadratic function?

• -3

• -1

• All real numbers

• 1

Tags

CCSS.HSF-IF.C.7A

Does this graph have a maximum or minimum value?

• maximum

• minimum

• neither

• both

Tags

CCSS.HSF-IF.C.7A

Does this graph in the back have maximum or minimum value?

• maximum

• minimum

• neither

• both

True or False:  The vertex on this graph represents a maximum value.

• True

• False

Tags

CCSS.HSF-IF.C.7A

Does this graph have a maximum or minimum value?

• maximum

• minimum

• neither

• both

Tags

CCSS.HSF-IF.C.7A

Suppose you have 60 feet of fencing for a garden. The area of the garden is given by the function f(x) = x(30 - x), where x is the width of the garden. What will be the maximum area of the garden? (Hint: Graph the function. Determine the maximum/ biggest y value)

• 225 ft^2

• 450 ft^2

• 60 ft^2

• 15 ft^2