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Graph Linear Functions Worksheet - Page 13

Graph Linear Functions Worksheet
  • Page 13
 121.  
Find the slope and y-intercept of the function f(x) = 4 5x + 7.
a.
Slope = -4 5, y-intercept = 9
b.
Slope = 4 5, y-intercept = 7
c.
Slope = 5 6,y-intercept = 7
d.
None of the above


Solution:

f(x) = 45x + 7
[Original equation.]

f(x) = mx + c
[Standard equation.]

The slope of the function, m is 4 / 5 and the y-intercept, c is 7.
[Combine with the standard equation.]


Correct answer : (2)
 122.  
Find the slope and y-intercept of the function f(x) = - 5(x - 2) + 2 .
a.
Slope = -4 and y-intercept is 11
b.
Slope = -5 and y-intercept is 12
c.
Slope = -6 and y-intercept is 13
d.
None of the above


Solution:

f(x) = -5(x - 2) + 2
[Original function.]

f(x) = -5x + 10 + 2
[Multiply.]

f(x) = -5x + 12
[Multiply.]

f(x) = mx + c
[Standard function.]

The slope of the function, m is -5 and the y-intercept, c is 12.
[Compare the obtained equation with the standard equation.]


Correct answer : (2)
 123.  
Which of the following is not a linear function?
a.
y = (x + 5) + 2x
b.
y = x5 + 2
c.
y = x 5 + 2
d.
None of the above


Solution:

A function in the form of f(x) = mx + c is called a linear function.
[In a linear function, the exponent of x must be 1.]

Among the choices the function y = x5 + 2 is not in the form of linear function.
[The exponent of x is 5.]

So, the function y = x5 + 2 is not a linear function.


Correct answer : (2)
 124.  
Which of the graphs best suits the equation y = - 23 x + 2 ?

a.
Graph 1
b.
Graph 2
c.
Graph 3
d.
Graph 4


Solution:

y = - 23x + 2
[Original equation.]

y = - 23(0) + 2
[Substitute 0 for x.]

y = 2
[Simplify.]

y = - 23(1) + 2
[Substitute 1 for x.]

y = 43
[Simplify.]

y = - 23(2) + 2
[Substitute 2 for x.]

y = 23
[Simplify.]

y = - 23(3) + 2
[Substitute 3 for x.]

y = 0
[Simplify.]

Among the choices, graph 2 satisfies the condition.


Correct answer : (2)

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