Free Printable Precal Chapter 1 Review

1.

Find the slope through these two points.

(a)

2.

Goes through points (-2, -1) and (-3, 5)

a)

y = 6x + 13

b)

y = -6x - 13

c)

y = -1/6x + 1

d)

y = 1/6x - 1

3.

Write an equation of a line that passes through the point (-9,2) and is perpendicular to the line y = 3x - 12

a)

y = (-1/3)x - 1

b)

y = (1/3)x - 2

c)

y = -3x + 12

d)

y = 3x - 1

4.

Which relation is NOT a function?

a)

{(1,-5), (3,1), (-5,4), (4,-2)}

b)

{(2,7), (3,7), (4,7), (5,8)}

c)

{(1,-5), (-1,6), (1,5), (6,-3)}

d)

{(3,-2), (5,-6), (7,7), (8,8)}

5.

What is f(1)?

a)

6

b)

-2

c)

sqrt(2)

d)

Undefined

6.

If $f\left(x\right)=3x+5$ , find $f\left(t+2\right)$

(a)

7.

State the domain:

a)

(-∞, 7) U (7, ∞)

b)

(-∞, -7) U (7, ∞)

c)

(7, ∞)

d)

[7, ∞)

8.

What is the DOMAIN?

a)

(4, ∞)

b)

(-4, ∞)

c)

[-3, 3)

d)

(-3, 3]

9.

What is the RANGE?

a)

(-∞, 0)

b)

(0, ∞)

c)

All real numbers

d)

{0, 1, 2, 3, 4,...}

10.

What are the extrema of the graph?

a)

Max = (2, -3), (1, 2)

Min = (-3, -1), (-1, 4)

b)

Max = (-3, -1), (-1, 4)

Min = (2, -3), (1, 2)

c)

Max = (-1, -3), (4, -1)

Min = (-3, 2), (2, 1)

d)

Max = (-3, 2), (2, 1)

Min = (-1, -3), (4, -1)

11.

When is this function decreasing?

a)

(-3, 3)

b)

(-∞, -3) U (3, ∞)

c)

(-∞, -3] U [3, ∞)

d)

[-3, 3]

12.

When is this function increasing?

a)

(-3, 3)

b)

(-2.5, 2.5)

c)

[-3, 3]

d)

(3, ∞)

13.

Match the graph with the correct equation.

a)

b)

c)

d)

14.

Even, odd, or neither?

a)

Even

b)

Odd

c)

Neither

15.

What are the transformations?
y=(x-2)³+4

a)

Horz shift right 2 Vert shift up 4

b)

Horz shift left 2 Vert shift up 4

c)

Horz shift right 2 Vert shift down 4

d)

Horz shift left 2 Vert shift up 4

16.

a)

Vertical Stretch by factor of 3; Reflection over x-axis; Left 3

b)

Horizontal Compression by factor of 3;Reflection over y-axis; Left 3

c)

Vertical Stretch by 3; Reflection over y-axis; Left 3

d)

Reflection over x-axis; Left 3

17.

$f\left(x\right)=3x+1;\ \ \ \ \ g\left(x\right)=5x-4$ $Find\ \left(f+g\right)\left(x\right)$

a)

$8x-5$

b)

$-2x+5$

c)

$-2x-3$

d)

$8x-3$

18.

$f\left(x\right)=x^2+1;\ \ \ \ \ \ g\left(x\right)=x-4$ $Solve\ \left(f+g\right)\left(1\right)$

a)

-1

b)

3

c)

-4

d)

5

19.

Find (fg)(x) $f\left(x\right)=x+1\ and\ g\left(x\right)=x^2-1$

a)

$x^3+x^2-x-1$

b)

$x^3-x^2-x-1$

c)

$x^3+x^2+x+1$

d)

$x^3-x^2+x-1$

20.

When f(x) = 2x and g(x) = x²+3 , find f(g(x)).

a)

x²+2x+3

b)

4x²+3

c)

2x²+3

d)

2x²+6

21.

Find f[g(5)]

a)

30

b)

242

c)

92

d)

2

22.

Find the inverse
f(x)= x⁴- 2

a)

∜(x+2)

b)

(x+2)⁴

c)

-1+2x⁴

d)

∜2x

23.

Find the inverse of $f(x)=10+7x$

a)

$f^{-1}(x)=\frac{x-7}{10}$

b)

$f^{-1}(x)=\frac{x-10}{7}$

c)

$f^{-1}(x)=\frac{1}{10+7x}$

24.

Determine if the function has an inverse function. If it does, then find the inverse function.

f\left(x\right)=\sqrt{2x+3}

a)

yes, $f^{-1}\left(x\right)=\frac{x-3}{2}$

b)

yes, $f^{-1}\left(x\right)=\ 2x^2-3$

c)

yes, $f^{-1}\left(x\right)=\frac{x^2-3}{2}$

d)

no inverse

25.

Use the horizontal line test to determine if the function has an inverse function.

a)

yes

b)

no

Precal Chapter 1 Review

Total questions: 25

Worksheet time: 1hrs 11mins

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