Linear Relationships
Linear vs Non-Linear
Mixed Review
Functions
More Mixed Review
100
What is the y-intercept in the following equation? y = 5.2x - 8
-8
100

Looking at a graph, how do you know a function is non-linear?

It is NOT straight.

100

Given y=0.5x-7; is (-2,-8) on the graph?

What is yes?

100
What is the definition of a function?
For each x value there is one and only one corresponding y value.
100

y=-9x

Is this function linear or non-linear?

What is linear?

200
Solve the following equation: y = 3.5x - 2 when x = 7
22.5
200

This is a straight line

What is a linear function?

200

x: 4    6    9    15

y: 3    4    5    6

Is this relation a function? Explain.

What is yes? Even though it is not constant, the exes are not dating more than 1 y.

200
is the following a function? Why or why not? (Note: you must explain why or why not to get the points for this problem) y = 0
Yes because each x value has one and only one y value.
200

How could you graph: -2x2 + 4?

What is a T-chart?

300
What is the slope of the line that passes through the points (5,7) and (9,15)?
2
300

x: 4    6    9    15

y: 3    4    5    6

Is this relation linear or non-linear? Explain.

What is non-linear? Even though the y's are going up at a constant rate, the x's are not since it increases by 2, then by 3, and then by 6.

300

Find f(-2) if f(x)=1/2x

What is -1?

300
The following points are on a line: (4, 2) (4, 3) (4, 4) Is the line a function? Why or why not? You must correctly answer why or why not to get credit for this question.
no, because for the value x = 4 there is more than one possible y value.
300
The value of a baseball card has increased steadily over time? What kind of graph would show this?

What is a qualitative graph?

400
Solve the following equation y = -8x + 7 when y = -17
x = 3
400

What kind of function is non-linear and has a parabola as it's graph?

What is a quadratic function?

400

The grocery store sells cantaloupes for $3.75 per pound. Is this discrete or continuous? Why? (YOU MUST EXPLAIN TO GET ALL THE POINTS.)

What is continuous? The graph is a constant rate of change that continues to increase constantly based upon how many cantaloupes are purchased.

400
Is the equation x = 6 linear? Why or why not? Is it a function? Why or why not? Answer all parts of above for credit for this question.
Yes it is linear because it forms a straight line (vertical) No it is not a function because there is more than one y value when x = 6.
400

Messages: 30    40    50    60

Cost:         18    19    20    21

What is the monthly cost to send 150 messages?

What is $30?

500
Find the solution to the following system of equations: y = 3x + 5 and 2y = -4x - 20
(-3, -4)
500

What two parts does a non-linear equation have that a linear equation does not?

Exponent and a fraction with x as the denominator

500

State the domain and range for the following relation. {(-4, 4), (1, 2), (0, 3), (3, 2)}

Domain: {-4, 0, 1, 3}

Range: {2, 3, 4}

500
What is the slope of x = -10?
undefined
500

f(x) = 3x + 2

What is the range for the domain: {-2, -1, 0, 1, 2}?

What is: {-4, -1, 2, 5, 8}?

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