Question 1

The function f(x) = 5x – 7 calculates the output by multiplying the input x by 5 and then subtracting 7. What is the value of f(5)?

Accepted Answer

18

Answer

19

Answer

24

Answer

12

Question 2

Given the function , which represents a quadratic expression, how would you find h(4)?

Accepted Answer

Substitute x = 4 and compute 4² - 4 x 4 + 3.

Answer

Substitute x = 4 and compute 4² + 4 x 4 - 3.

Answer

Substitute x = 4 and compute 4² + 4 x 4 +3.

Answer

Substitute x = 4 and compute -4² - 4 x 4 - 3.

Question 3

If , what is the domain of the function $f\left(x\right)\ =\ \sqrt{x+10}$ ?

Accepted Answer

Answer

Answer

Answer

Question 4

For the function $f\left(x\right)\ =\ \sqrt{x+10}$ , which values are excluded from the domain?

Accepted Answer

x = -3&#44;3

Answer

All real numbers are included.

Answer

x=0

Answer

x=3 only

Question 5

The function g(x) = x²− 4x + 6 was evaluated as follows: For x = 3, the result is g(3) = 3²− 4(3) + 6 = 9 – 12 + 6 = 3. Identify if this evaluation is correct. If not, identify the error.

Accepted Answer

The evaluation is correct.

Answer

The error is in squaring the value of x.

Answer

The subtraction step is incorrect.

Answer

The evaluation missed adding 6 at the end.

Question 6

Given the function h(x) = 2x − 7, compare the function's output when x = 1 and when x = 2. How does the change in x affect the function's output?

Accepted Answer

The output increases when x increases.

Answer

The output increases as x becomes negative.

Answer

The output becomes zero when x is negative.

Answer

There is no significant change in the output.

Question 7

A student claims that the function f(x)=5x−2 evaluated at x=4 yields an output of 18. Evaluate this claim and provide a justification.

Accepted Answer

The claim is correct because the evaluation follows the correct steps.

Answer

The evaluation process is flawed and needs re-checking.

Answer

The claim is incorrect; the correct output should be 20.

Answer

The claim is incorrect; multiplication was done incorrectly.

Question 8

Two students, Alex and Sam, evaluated the function h(x) = 2x + 3 at x = 6. Alex's result was 15, while Sam's was 12. Evaluate both approaches and decide which, if any, is correct.

Accepted Answer

Only Alex’s evaluation is correct; Sam made an arithmetic mistake.

Answer

Neither approach was correct; both should be reviewed.

Answer

Both Alex and Sam made errors in evaluation.

Answer

Only Sam’s evaluation is correct; Alex added incorrectly.

Question 9

What is the domain of all polynomial functions?

Accepted Answer

All real numbers

Answer

All rational numbers

Answer

All positive real numbers

Answer

All negative real numbers

Question 10

What is the domain of the function $f\left(x\right)\ =\ \sqrt{x+10}$ ?

Accepted Answer

Answer

Answer

Answer

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