11/11 & 11/12 - LINEAR & EXPONENTIAL FUNCTIONS

$x > 0$

$x > -2$

$x < -3$ or $1 < x < 3$

$x < -3$ or $-1 < x < 1$ or $x > 3$

The cost of the wheelbarrow is $150, and 150 represents the slope of the function.

The cost of the wheelbarrow is $150, and 150 represents the y-intercept of the function.

The cost of the wheelbarrow is $4.30, and 4.3 represents the slope of the function.

The cost of the wheelbarrow is $4.30, and 4.3 represents the y-intercept of the function.

$f(x)$ has a maximum value closer to the x-axis.

g(x) has a maximum value closer to the x-axis.

f(x) has a minimum value closer to the x-axis.

g(x) has a minimum value closer to the x-axis.

$m = -3; \ y$-intercept $(0, -\frac{1}{2})$; x-intercept $(-6, 0)$

$m = -3; \ y$-intercept $(0, -\frac{1}{2})$; x-intercept $(-\frac{3}{2}, 0)$

$m = -\frac{1}{2}; \ y$-intercept $(0, -3)$; x-intercept $(-6, 0)$

$m = -\frac{1}{2}; \ y$-intercept $(0, -3)$; x-intercept $(-\frac{3}{2}, 0)$

1

4

6

7

John has $3 saved and saves $5 more each week. How much money will he have saved after $x$ weeks?

John has $5 saved and saves $3 more each week. How much money will he have saved after $x$ weeks?

John has $5 saved and spends $3 each week. How much money will he have left after $x$ weeks?

John has $3 saved and spends $5 a week. How much money will he have left after $x$ weeks?

0.5 foot

1.05 feet

5 feet

12 feet

$-2$

$-\frac{1}{2}$

$\frac{1}{4}$

4

The y-intercept is located at the origin.

The y-intercept is the point located on the x-axis.

The y-intercept is the value of x when y is set equal to 0.

The y-intercept is the value of the equation when x equals 0.

equal to

less than

greater than

$f(x)$

$g(x)$

The functions have equal y-intercepts.

There is not enough information to compare the y-intercepts.

2

3

5

7

Both functions are decreasing when $x > 0$.

Both functions are increasing when $x > 0$.

While $f(x)$ decreases when $x > 0$, $g(x)$ increases when $x > 0$.

While $f(x)$ increases when $x > 0$, $g(x)$ decreases when $x > 0$.

$2$

$6$

$8$

$10$

$f(x)$ only

$g(x)$ only

neither $f(x)$ nor $g(x)$

both $f(x)$ and $g(x)$

$y = -2x^2 + 2$

$y = -2x^2 + 3$

$y = 2x^2 + 2$

$y = 2x^2 + 3$

$y = x^2 + 5x + 2$

$y = x^2 - 8x + 2$

$y = x^2 + 7x + 2$

$y = x^2 - 2x + 2$

$f(x) = x^2 - 3$

$f(x) = x^2 + 9$

$f(x) = x^2 - 6x + 9$

$f(x) = x^2 + 6x + 9$