Solving Functions from Function Notation

If f(x) = 2x+1, what would the function look like once you substitute in a 1 to find f(1)?

• f(x) = 21+1

• f(1) = 2 (1) + 1

• f(1) = 2x (1) + 1

Tags

CCSS.HSF.IF.A.2

If f(x) = x²-x+3, what would the function look like once you substitute in a -3 to find f(-3)?

• f(-3) = -3²-3+3

• f(-3) = (-3)² -(-3)+3

• f(-3) = (-3)² -3+3

Tags

CCSS.HSF.IF.A.2

Is this a function? Explain.

• Yes; it passes the horizontal line test.

• No; it is not a straight line.

• Yes; it passes the vertical line test.

• No; there is a line connecting the dots.

If f(x) = 2x + 1, find f(1).

• f(1) = 1

• f(1) = 4

• f(1) = 0

• f(1) = 3

• f(1) = -1

Tags

CCSS.HSF.IF.A.2

Given the graph, find:

Tags

CCSS.HSF.IF.A.2

Given f(x) = 3x + 10
and g(x) = x - 2
Find f(g(5))

• 19

• 23

• -10

• None of these.

Tags

CCSS.HSF-BF.A.1C

If f(x) = x² and g(x) = 3x - 1, find f(g(x))

• 9x² - 6x + 1

• 3x - 1

• 3x² - 1

• 9x² - 1

Tags

CCSS.HSF-BF.A.1C

f(x) = 3x + 10
g(x) = x - 2
Find g(f(-10))

• -42

• -26

• -18

• None of these.

Tags

CCSS.HSF-BF.A.1C

Which expression represents g(f(x)) if          f(x) = 2x - 8
and
g(x) = 4x

• 8x - 32

• 8x² - 32x

• 8x - 8

• 6x - 8

Tags

CCSS.HSF-BF.A.1C

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

• x²+2x+3

• 4x²+3

• 2x²+3

• 2x²+6

Tags

CCSS.HSF-BF.A.1C