Function Notation, Graphing Using Slope Intercept and Standard Form and Transformations

Finding Slope/Rate of Change: The graph of a linear function is shown on the grid. Which statements are true? Select TWO correct answers

•  The rate of change is positive

•  The rate of change is negative

Answer explanation

The graph shows a downward slope, indicating a negative rate of change. The correct rate of change is -2/3, confirming that the function decreases as x increases.

Tags

CCSS.HSF-LE.A.1B

• a

• b

• c

Answer explanation

To graph the line, start at the y-intercept (0, -1). From there, use the slope of 5/2 to rise 5 units and run 2 units to the right. The point (2, 9) corresponds to this line, which is choice c.

How did the equation shift from the parent function f(x) = x? g(x) = ½f(x - 4) Select ALL that apply.

• Shift right by 4

• Shift left by 4

• The line g(x) is steeper

• The line g(x) is less steep

• Shift down by 4

Answer explanation

The function g(x) = ½f(x - 4) shifts the graph of f(x) = x to the right by 4 units due to the (x - 4) term. The factor of ½ makes the line less steep, as it reduces the slope from 1 to ½.

Refer to the graph. What happens to the slope of the line if the

x-intercept is changed to 3 and the y-intercept stays the same?

• The slope becomes positive.

• The slope becomes undefined.

• The slope becomes negative.

• The slope is the opposite reciprocal.

Answer explanation

Changing the x-intercept to 3 while keeping the y-intercept the same results in a line that slopes downward from left to right, indicating a negative slope.

Tags

CCSS.8.EE.B.5

If your output was 7, what is your input?

• x = 3

• h(x) = 11

• x = 2

• h(x) = 2

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Find x if p(x) = 3

• p(2) = 3

• p(7) = 3

• p(3) = 2

• p(0) = 3

Tags

CCSS.HSF.IF.A.2

Which is the graph of y= -x + 2?

• A

• B

• C

• D

The slope of the line that passes through the points (2, 10) and (3, 5) is ___.

Tags

CCSS.8.EE.B.5

Using the following graphing, write a linear equation. (Type without spaces)

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Which equation has a line that would pass through both (8, 5) and (9, −1) ?

• y = 6x + 53

• y = −6x - 53

• y = (−4/5)x + 53

• y = −6x + 53