Function Evaluation and Solving

Evaluate f(x) =(2x + 8)/x at f(2)

• 12

• 6

• 14

Evaluate f(-2) if f(x) = x²+ 3

• -1

• 1

• 7

• -7

For the function f(x) = -3(x-1) find f(0).

• 0

• -3

• 3

• -1

Evaluate f(-5) if f(x) = -2x - 12

• -22

• -2

• -19

• -5

If f(x) = 7, what is the value of x?

f(x) = 3x+1

• 2

• 3

• 8

Solve for f(x) = 10

9x + 1 = f(x)

• 1

• 10

• 12

• 11

If f(x) = 7, what is the value of x?

6x - 5 = f(x)

• 2

• 3

• 6

• 12

Which method could be the most efficient to find the correct answer?

• Draw blank spaces for terms 1-9 and work backwards using the common difference to fill in the blanks.

• Establish the common difference as +17 or -17, narrow down your answer choices, type those remaining functions into Desmos (using x instead of a_n-1) and convert to a table to find the matching term positions and values.

• Start sequences with both -238 and -221, applying the common difference until you get to the 10th, 11th and 12th terms.

When you use the answer choices as a substitute for the value of a in the given equation, the a becomes the _________ value of the function.

• dependent variable

• input

• output

• range

Using Desmos, what can you do to most efficiently find the correct answer to the question?

• Plot the ordered pairs and connect the dots

• Enter the table of data and generate the line of best fit, matching the equation of that line to the equation choices

• Substitute the x value in each row into each equation and evaluate the function to see if you get the corresponding y value shown in the table

• Input each answer choice as an equation, convert each to a table and select the function whose table matches the table in the problem