Lesson 6 Be the Change Practice Understanding

Ready

1.

Graph the following linear equations on the grid. The equation $y = x$ has been graphed for you. For each new equation explain what the number $3$ does to the graph of $y = x$ . Pay attention to the $y$ -intercept, the $x$ -intercept, and the slope. Identify what changes in the graph and what stays the same.

$y = x + 3$
$y = x - 3$
$y = 3 x$

2.

The graph of $y = x$ is given. For each equation, predict what you think the number $- 2$ will do to the graph. Then graph the equation.

Prediction:

$y = x + (- 2)$
$y = x - (- 2)$
$y = - 2 x$

Set

For each relation given:

Identify whether or not the relation is a function. (If it’s not a function, skip b–d.)
Determine if the function is linear, exponential, quadratic, or neither.
Describe the type of growth.
Express the relation in the indicated form.

3.

The Driver Education course started with $81$ students. Students complete the course by passing the driving examination. After the first month, there were $27$ students in the course, after the next month $9$ , then $3$ …

a.

Is it function? (If not, skip parts b–d.)

A.

Yes

B. b.

Is the function linear, exponential, quadratic, or neither?

A.

linear

B.

exponential

C.

quadratic

D.

neither

c.

How does it change?

d.

Make a graph. Label your axes and the scale.

4.

$x$	$y$
$0$	$81$
$1$	$80 \frac{2}{3}$
$2$	$80 \frac{1}{3}$
$3$	$80$
$4$	$79 \frac{2}{3}$

a.

Identify whether or not the relation is a function. (If it’s not a function, skip b–d.)

A.

Yes

B. b.

Determine if the function is linear, exponential, quadratic, or neither.

A.

linear

B.

exponential

C.

quadratic

D.

neither

c.

How does it change?

d.

Write the explicit equation.

5.

a.

Identify whether or not the relation is a function. (If it’s not a function, skip b–d.)

A.

Yes

B. b.

Determine if the function is linear, exponential, quadratic, or neither.

A.

linear

B.

exponential

C.

quadratic

D.

neither

c.

How does it change?

d.

Create a table.

6.

Distance traveled in feet based on the speed in mph the baseball leaves the bat.

a.

Identify whether or not the relation is a function. (If it’s not a function, skip b–d.)

A.

Yes

B. b.

Determine if the function is linear, exponential, quadratic, or neither.

A.

linear

B.

exponential

C.

quadratic

D.

neither

c.

How does it change?

d.

Predict the distance the baseball flies, if it leaves the bat at a speed of $115 mph$ .

Go

7.

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$f (x) = - 2 x + 5$
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I put $$ 7,000$ in a savings account that pays $3 %$ interest compounded annually. I plan to leave it in the bank for $20$ years. What amount will I have then?
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The area of the triangles.
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$f (0) = 5, f (n) = 2 \cdot f (n - 1)$
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$f (0) = 5, f (n) = f (n - 1) - 2$
___
$x$
$- 7.75$
$- \frac{1}{4}$
$\frac{1}{2}$
$11.6$
$f (x)$
$7.75$
$\frac{1}{4}$
$- \frac{1}{2}$
$- 11.6$

$x$	$- 7.75$	$- \frac{1}{4}$	$\frac{1}{2}$	$11.6$
$f (x)$	$7.75$	$\frac{1}{4}$	$- \frac{1}{2}$	$- 11.6$

$f (x) = 5 {(2)}^{x}$
$f (1) = 2, f (n) = f (n - 1) + 2 n$
$y + x = 0$
$y = (x - 1) (x + 3)$
$A = 7,000 {(1.03)}^{20}$