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Chapter 9: Q27. (page 597)

Graph鈭�2,4,鈭�1,1,0,0,1,1,2,4. Determine whether the ordered pairs represent a linear function, a quadratic function, or an exponential function.

Short Answer

Expert verified

The graph is given by:

The ordered pairs represent a quadratic function.

Step by step solution

01

Step 1. State the concept.

The equation of linear functions is given by y=mx+b. The quadratic equations and exponential functions are non-linear functions whose equations is given byy=ax2+bx+c andy=abx respectively.

02

Step 2. Write an equation for the functions that models the data. 

Graph the points 鈭�2,4,鈭�1,1,0,0,1,1,2,4.

03

Step 3. State the interpretation of the graph.

From the graph, it can be observed that the ordered pairs represent a quadratic function.

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Most popular questions from this chapter

Graph each function. Find the y-intercept, and state the domain and range.

y=2x鈭�3

Which is an equation for the function shown in the graph?

Ay=鈭�3x2

By=3x2+1

Cy=x2+2

Dy=鈭�3x2+2

Describe how the graph of the functionfx=x2鈭�3 is related to the graph fx=x2.

MULTIPLE REPRESENTATIONS in this problem, you will investigate solving quadratic equations using tables.

a. ALGEBRAIC Determine the related function for each equation. Copy and complete the table below.

b. GRAPHICAL Graph each related function with a graphing calculator.

c. ANALYTICAL use the table feature on your calculator to determine the zeros of each related function. Record the zeros in the table above. Also, record the values of the function one unit less than and one unit more than each zero.

d. VERBAL Compare the signs of the function values for x values just before and just after a zero. What happens to the sign of the function value before and after a zero?

State whether the given sentence is true or false. If false, replace the underlined term to make a true sentence.

The graph of a quadratic function is a straight line.
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